Question: Which of the following two battles. The Battle of Iwo Jima and The Battle of Luzon, lasted longer?

Context paragraphs:
Iwo Jima LORAN-C transmitter: Iwo Jima LORAN-C transmitter was a LORAN-C transmitter at Iwo Jima, Japan of Grid 9970 at .  The Iwo Jima LORAN-C transmitter had a transmission power of 4 megawatts, which is more than the most powerful broadcasting stations.  The Iwo Jima LORAN-C transmitter had a 411.5 metre (1350 ft) tall guyed mast, which was built in 1963.  A guy wire insulator eyebolt failed sending the insulator crashing into the tower, knocking it out of plumb.  It collapsed in 1964 on repair of the structural damage caused by the insulator.  The collapsing tower killed four construction contract workers, three on the tower and one on the ground.  The collapse also destroyed the transmitter building.

Battle of Luzon: The Battle of Luzon, fought 9 January – 15 August 1945, was a land battle of the Pacific Theater of Operations of World War II by the Allied forces of the U.S., its colony the Philippines, and allies against forces of the Empire of Japan.  The battle resulted in a U.S. and Filipino victory.  The Allies had taken control of all strategically and economically important locations of Luzon by March 1945, although pockets of Japanese resistance held out in the mountains until the unconditional surrender of Japan.  While not the highest in U.S. casualties, it is the highest net casualty battle U.S. forces fought in World War II, with 192,000 to 205,000 Japanese combatants dead (mostly from starvation and disease), 10,000 American combatants killed, and between 120,000 to 140,000 Filipino civilians and combatants killed.

Iwo Jima (video game): Iwo Jima is a turn-based strategy video game developed and published by Personal Software Services for the Commodore 64 and ZX Spectrum in 1986.  It is the second instalment to the "Strategic Wargames" series.  The game is set during the Battle of Iwo Jima in the Pacific Ocean theatre of World War II and revolves around the United States Marine Corps' objective to secure the island of Iwo Jima from the Imperial Japanese Army.

USS Iwo Jima (LPH-2): USS "Iwo Jima" (LPH-2) was the lead ship of her class and type—the first ship to be designed and built from the keel up as an amphibious assault ship.  She carried helicopters and a detachment of embarked Marines for use in the Navy's "vertical envelopment" concept of amphibious operations.  "Iwo Jima" was the second of three ships of the United States Navy to be named for the Battle of Iwo Jima, although the first to be completed and see service (the first was cancelled during construction).

Iwo Jima: Iwo To (硫黄島 , Iō-tō , "sulfur island") , known in English as Iwo Jima (    ), is an island of the Japanese Volcano Islands chain south of the Ogasawara Islands and together with them forms the Ogasawara Archipelago also known as the Bonin Islands.  The island of 21 km (8 square miles) is 1200 km south of mainland Tokyo and is administered as part of Ogasawara, one of the eight villages of Tokyo inhabited only by Japan Self-Defense Forces and used by the U.S. Navy for carrier practice.  It was the setting of the February–March 1945 Battle of Iwo Jima involving the United States and a small number of elements of the British Pacific Fleet versus the Empire of Japan during World War II.  The island grew in recognition outside Japan when the photograph "Raising the Flag on Iwo Jima" was taken on Mount Suribachi, the highest point at 160 metres (528 feet), during the battle by Associated Press photographer Joe Rosenthal.  The U.S. occupied Iwo Jima until 1968 when it was returned to Japan.

To the Shores of Iwo Jima: To the Shores of Iwo Jima is a 1945 Kodachrome color short war film produced by the United States Navy and United States Marine Corps.  It documents the Battle of Iwo Jima, and was the first time that American audiences saw in color the footage of the famous flag raising on Iwo Jima.

Letters from Iwo Jima: Letters from Iwo Jima (硫黄島からの手紙 , Iōjima Kara no Tegami ) is a 2006 Japanese-American war film directed and co-produced by Clint Eastwood, starring Ken Watanabe and Kazunari Ninomiya.  The film portrays the Battle of Iwo Jima from the perspective of the Japanese soldiers and is a companion piece to Eastwood's "Flags of Our Fathers", which depicts the same battle from the American viewpoint; the two films were shot back to back.  "Letters from Iwo Jima" is almost entirely in Japanese, although it was produced by American companies DreamWorks, Malpaso Productions, and Amblin Entertainment.  After "Flags of Our Fathers" underperformed at the box office, DreamWorks swapped the United States distribution rights to Warner Bros., who had the international rights.

Battle of Iwo Jima: The Battle of Iwo Jima (19 February – 26 March 1945) was a major battle in which the United States Marine Corps landed on and eventually captured the island of Iwo Jima from the Imperial Japanese Army during World War II.  The American invasion, designated Operation Detachment, had the goal of capturing the entire island, including the three Japanese-controlled airfields (including the South Field and the Central Field), to provide a staging area for attacks on the Japanese main islands.  This five-week battle comprised some of the fiercest and bloodiest fighting of the Pacific War of World War II.

South Field (Iwo Jima): South Field was a World War II airfield on Iwo Jima in the Volcano Islands, located in the Central Pacific.  The Volcano Islands are part of Japan.  The airfield was located on the southern corner of Iwo Jima located on the Motoyama plateau, to the north of Mount Suribachi.  South Field was significant to the overall Battle of Iwo Jima.

National Iwo Jima Memorial: The US National Iwo Jima Memorial is located on Ella Grasso Boulevard, near the New Britain/Newington town line in Connecticut.  It was erected by the Iwo Jima Survivors Association, Inc. of Newington, Connecticut.  It was dedicated on February 23, 1995 on the 50th anniversary of the historic flag raising on Iwo Jima.  It is dedicated to the memory of the 6,821 US servicemen who gave their lives at Iwo Jima.  Inscribed on the base are the names of the 100 men from Connecticut who gave their lives in the battle.

Supporting paragraphs: Battle of Iwo Jima Battle of Luzon
Answer: The Battle of Luzon