Question

Which of these is the least common multiple of 61,284 and 1,314?

Answer 1

Answer:

13,421,196

Step-by-step explanation:

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 3, 3, 73, 5107

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 x 3 x 73 x 5107 = 13421196

In exponential form:

LCM = 22 x 32 x 731 x 51071 = 13421196

LCM = 13421196

Therefore,

LCM(1314, 61284) = 13,421,196