What is the least common multiple of 3 and 2? (LCM of 3 and 2)?

What is the Least Common Multiple of 3 and 2?

The Least Common Multiple (LCM) of 3 and 2 is the smallest positive number that is a multiple of both 3 and 2.

Here we will show you two different ways to figure out the Least Common Multiple of 3 and 2.

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 3 are:
1 x 3

The prime factor(s) of 2 are:
1 x 2

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

2 x 3

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 3 and 2 as follows:

6

To find the Least Common Multiple of 3 and 2, you can also make a list of multiples of 3 and a list of multiples of 2.

Multiples of 3 would be 3, 6, 9, 12 and so on.

Multiples of 2 would be 2, 4, 6, 8 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 3 and 2. You will once again see that the answer will be:

6

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What is the Least Common Multiple of 3 and 3?
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 3

Prime Factorization of 2

Multiples of 3

Multiples of 2