The smallest number when increased by "2 " is exactly divisible by 12, 30, 48, 74 and 100 is: Choose the correct answer.
A) 14439  B) 44398  C) 44400  D) 44402  E) 15005

Rationale: "lcm = 44400 44400 - 2 = 44398 answer : b"
Answer: B