Question

find the lcm of 15 and 25

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Answer 1

Answer:

The LCM of 15,25 is 5×3×5=75

Answer 2

Solution by Prime Factorization

List all prime factors for each number.

Prime Factorization of 15 is:

3×5 = 3¹×5¹

Prime Factorization of 25 is:

5×5 = 5¹

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

Multiply these factors together to find the LCM.

LCM = 3 × 5 × 5 = 75

In exponential form:

LCM = 31 × 52 = 75

LCM = 75

Therefore,

LCM(15, 25) = 75