What is the least common multiple of 46 and 68? (LCM of 46 and 68)?

What is the Least Common Multiple of 46 and 68?

The Least Common Multiple (LCM) of 46 and 68 is the smallest positive number that is a multiple of both 46 and 68.

Here we will show you two different ways to figure out the Least Common Multiple of 46 and 68.

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 46 are:
2 x 23

The prime factor(s) of 68 are:
2 x 2 x 17

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

2 x 2 x 17 x 23

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 46 and 68 as follows:

1564

To find the Least Common Multiple of 46 and 68, you can also make a list of multiples of 46 and a list of multiples of 68.

Multiples of 46 would be 46, 92, 138, 184 and so on.

Multiples of 68 would be 68, 136, 204, 272 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 46 and 68. You will once again see that the answer will be:

1564

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

Prime Factorization of 46

Prime Factorization of 68

Multiples of 46

Multiples of 68