What is the least common multiple of 12 and 20? (LCM of 12 and 20)?

What is the Least Common Multiple of 12 and 20?

The Least Common Multiple (LCM) of 12 and 20 is the smallest positive number that is a multiple of both 12 and 20.

Here we will show you two different ways to figure out the Least Common Multiple of 12 and 20.

Our favorite way is to find the prime factors of each number and then merge them together to get the answer.

The prime factor(s) of 12 are:
2 x 2 x 3

The prime factor(s) of 20 are:
2 x 2 x 5

Merging them together using the least amount of factors, you get:

2 x 2 x 3 x 5

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 12 and 20 as follows:

60

To find the Least Common Multiple of 12 and 20, you can also make a list of multiples of 12 and a list of multiples of 20.

Multiples of 12 would be 12, 24, 36, 48 and so on.

Multiples of 20 would be 20, 40, 60, 80 and so on.

Now, compare the two lists to find the smallest number the two lists have in common, which is the Least Common Multiple of 12 and 20. You will once again see that the answer will be:

60

Least Common Multiple Calculator
Enter another two numbers below to find the Least Common Multiple

What is the Least Common Multiple of 12 and 21?
Go here for the next Least Common Multiple on our list that we calculated.

We used used the following sources to solve the problem on this page:

Prime Factorization of 12

Prime Factorization of 20

Multiples of 12

Multiples of 20