What is the LCM of 107 and 28?

One way to find the LCM of 107 and 28 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 107?
• What are the Factors of 28?

Here is the prime factorization of 107:

And this is the prime factorization of 28:

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: 107, 2, 7

Through this we see that the LCM of 107 and 28 is 2996.

The first step to this method of finding the Least Common Multiple of 107 and 28 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, 107 and 28:

What are the Multiples of 107?

What are the Multiples of 28?

Let’s take a look at the first 10 multiples for each of these numbers, 107 and 28:

First 10 Multiples of 107: 107, 214, 321, 428, 535, 642, 749, 856, 963, 1070

First 10 Multiples of 28: 28, 56, 84, 112, 140, 168, 196, 224, 252, 280

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 107 and 28 are 2996, 5992, 8988. Because 2996 is the smallest, it is the least common multiple.

The LCM of 107 and 28 is 2996.

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

• What is the LCM of 113 and 123?
• What is the LCM of 48 and 57?
• What is the LCM of 61 and 1?
• What is the LCM of 125 and 46?
• What is the LCM of 108 and 132?