What is the least common multiple of 3 and 46? (LCM of 3 and 46)?

What is the Least Common Multiple of 3 and 46?

The Least Common Multiple (LCM) of 3 and 46 is the smallest positive number that is a multiple of both 3 and 46.

Here we will show you two different ways to figure out the Least Common Multiple of 3 and 46.

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 46 are:
2 x 23

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

2 x 3 x 23

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 3 and 46 as follows:

138

To find the Least Common Multiple of 3 and 46, you can also make a list of multiples of 3 and a list of multiples of 46.

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

Multiples of 46 would be 46, 92, 138, 184 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 46. You will once again see that the answer will be:

138

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

Prime Factorization of 3

Prime Factorization of 46

Multiples of 3

Multiples of 46