What is the least common multiple of 41 and 64? (LCM of 41 and 64)?

What is the Least Common Multiple of 41 and 64?

The Least Common Multiple (LCM) of 41 and 64 is the smallest positive number that is a multiple of both 41 and 64.

Here we will show you two different ways to figure out the Least Common Multiple of 41 and 64.

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 41 are:
1 x 41

The prime factor(s) of 64 are:
2 x 2 x 2 x 2 x 2 x 2

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

2 x 2 x 2 x 2 x 2 x 2 x 41

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 41 and 64 as follows:

2624

To find the Least Common Multiple of 41 and 64, you can also make a list of multiples of 41 and a list of multiples of 64.

Multiples of 41 would be 41, 82, 123, 164 and so on.

Multiples of 64 would be 64, 128, 192, 256 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 41 and 64. You will once again see that the answer will be:

2624

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

Prime Factorization of 41

Prime Factorization of 64

Multiples of 41

Multiples of 64