What is the least common multiple of 46 and 71? (LCM of 46 and 71)?

What is the Least Common Multiple of 46 and 71?

The Least Common Multiple (LCM) of 46 and 71 is the smallest positive number that is a multiple of both 46 and 71.

Here we will show you two different ways to figure out the Least Common Multiple of 46 and 71.

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 71 are:
1 x 71

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

2 x 23 x 71

Then you can multiply those numbers together to get the Least Common Multiple (LCM) of 46 and 71 as follows:

3266

To find the Least Common Multiple of 46 and 71, you can also make a list of multiples of 46 and a list of multiples of 71.

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

Multiples of 71 would be 71, 142, 213, 284 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 71. You will once again see that the answer will be:

3266

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What is the Least Common Multiple of 46 and 72?
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We used used the following sources to solve the problem on this page:

Prime Factorization of 46

Prime Factorization of 71

Multiples of 46

Multiples of 71