what is the smallest 5 digit number that is divisible by 15 , 32 , 45 , and 54 ?  Choose the correct choice from the following options.
A) 11260 B) 11860 C) 12360 D) 12960 E) 13560

Rationale: 15 = 3 * 5 32 = 2 ^ 5 45 = 3 ^ 2 * 5 54 = 2 * 3 ^ 3 lcm = 2 ^ 5 * 3 ^ 3 * 5 = 4320 the smallest five - digit number that is a multiple of 4320 is 3 * 4320 = 12,960 the answer is d .
Answer: D