What is the least common multiple of 41 and 48? (LCM of 41 and 48)?

What is the Least Common Multiple of 41 and 48?

The Least Common Multiple (LCM) of 41 and 48 is the smallest positive number that is a multiple of both 41 and 48.

Here we will show you two different ways to figure out the Least Common Multiple of 41 and 48.

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 48 are:
2 x 2 x 2 x 2 x 3

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

2 x 2 x 2 x 2 x 3 x 41

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 41 and 48 as follows:

1968

To find the Least Common Multiple of 41 and 48, you can also make a list of multiples of 41 and a list of multiples of 48.

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

Multiples of 48 would be 48, 96, 144, 192 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 48. You will once again see that the answer will be:

1968

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

Prime Factorization of 41

Prime Factorization of 48

Multiples of 41

Multiples of 48