LCM of 12 and 15

What is the LCM of 12 and 15? - The LCM of 12 and 15 is 60. Follow the step by step instructions on how to find the least common multiple of 12 and 15.

What is the least common multiple of 12 and 15?

How to find the lcm of 12 and 15?

To find the lcm of 12 and 15, we first need to find the multiples of 12 and 15 and then choose the least common multiple that are dividable by 12 and 15.

Multiples of 12 = 12, 24, 36, 48, 60
Multiples of 15 = 15, 30, 45, 60

The least common multiple of 12 and 15 is 60, because 60 is the smallest number that is divisible by both 12 and 15.

Another method to find the least common multiple of 12 and 15 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 12 and 15, and then get the LCM by multiplying the prime factors that are rasied to their highest power from the two sets.

Prime factorization of 12 = 2 x 2 x 3 = 2² x 3
Prime factorization of 15 = 3 x 5
Prime factors to the highest power = 2² x 3 x 5 = 60