Question

find LCM of 1545 and 25​

Answer 1

List all prime factors for each number.

Prime Factorization of 25 is:

5 x 5  =>  52

Prime Factorization of 1545 is:

3 x 5 x 103  =>  31 x 51 x 1031

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

3, 5, 5, 103

Multiply these factors together to find the LCM.

LCM = 3 x 5 x 5 x 103 = 7725

In exponential form:

LCM = 31 x 52 x 1031 = 7725

LCM = 7725

Therefore,

LCM(25, 1545) = 7725 ans