What is the LCM of 13 and 41?

One way to find the LCM of 13 and 41 is to start by comparing the prime factorization of each number. To find the prime factorization, you can follow the instructions for each number here:

• What are the Factors of 13?
• What are the Factors of 41?

Here is the prime factorization of 13:

And this is the prime factorization of 41:

When you compare the prime factorization of these two numbers, you want to look for the highest power that each prime factor is raised to. In this case, there are these prime factors to consider: 13, 41

Through this we see that the LCM of 13 and 41 is 533.

The first step to this method of finding the Least Common Multiple of 13 and 41 is to begin to list a few multiples for each number. If you need a refresher on how to find the multiples of these numbers, you can see the walkthroughs in the links below for each number.

Let’s take a look at the multiples for each of these numbers, 13 and 41:

What are the Multiples of 13?

What are the Multiples of 41?

Let’s take a look at the first 10 multiples for each of these numbers, 13 and 41:

First 10 Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130

First 10 Multiples of 41: 41, 82, 123, 164, 205, 246, 287, 328, 369, 410

You can continue to list out the multiples of these numbers as long as needed to find a match. Once you do find a match, or several matches, the smallest of these matches would be the Least Common Multiple. For instance, the first matching multiple(s) of 13 and 41 are 533, 1066, 1599. Because 533 is the smallest, it is the least common multiple.

The LCM of 13 and 41 is 533.

Want more practice? Try some of these other LCM problems:

• What is the LCM of 30 and 20?
• What is the LCM of 33 and 27?
• What is the LCM of 15 and 106?
• What is the LCM of 130 and 92?
• What is the LCM of 21 and 70?