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LCM of 12 and 16

What is the LCM of 12 and 16? - The LCM of 12 and 16 is 48. Follow the step by step instructions on how to find the least common multiple of 12 and 16.

Least Common Multiple of 12 and 16

Number 1:
Number 2:

What is the least common multiple of 12 and 16?

Answer: 48

How to find the lcm of 12 and 16?

Method 1 - Listing Multiples

To find the lcm of 12 and 16, we first need to find the multiples of 12 and 16 and then choose the least common multiple that are dividable by 12 and 16.

Multiples of 12 = 12, 24, 36, 48
Multiples of 16 = 16, 32, 48

The least common multiple of 12 and 16 is 48, because 48 is the smallest number that is divisible by both 12 and 16.





Method 2 - Prime Factorization

Another method to find the least common multiple of 12 and 16 is by using the prime factorization method.
To use prime factorization, we first need to find the prime factors of 12 and 16, 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 16 = 2 x 2 x 2 x 2 = 24
Prime factors to the highest power = 24 x 3 = 48

LCM of 11 and 16
LCM of 13 and 16
LCM of 12 and 17
LCM of 12 and 15

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