LCM of 12 and 15 is 60. Let’s see how to find LCM of 12 and 15 by Prime Factorization Method and other methods step by step.

## How to Find The LCM of 12 and 15

LCM of 12 and 15 can be found by the following methods:

Prime factorization method.

Listing Common Multiples Method.

Division Method.

### LCM of 12 and 15 By Prime Factorization Method

Step I Do Prime Factors of 12 and 15

Factors of 12

12 = 2×2×3 = 2^{2}×3

Factors of 15

15 = 3×5

Step II Multiply the Highest Power Prime Factors

2^{2}×3×5 = 60

Step III Find LCM

LCM is the product of the highest power prime factors.

### LCM of 12 And 15 by Listing Common Multiples

Multiples of 12

12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, …

Multiples of 15

15 = 15, 30, 45, 60, 75, 90, 105, 120, …

List of common multiples = 60, 120, …

LCM is the least common multiple.

Hence The LCM of 12 and 15 is 60.

### LCM of 12 and 15 By Division Method

Some Other Least Common Multiply Examples:

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