What is the LCM of 108 and 55?

One way to find the LCM of 108 and 55 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 108?
• What are the Factors of 55?

Here is the prime factorization of 108:

And this is the prime factorization of 55:

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: 2, 3, 5, 11

Through this we see that the LCM of 108 and 55 is 5940.

The first step to this method of finding the Least Common Multiple of 108 and 55 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, 108 and 55:

What are the Multiples of 108?

What are the Multiples of 55?

Let’s take a look at the first 10 multiples for each of these numbers, 108 and 55:

First 10 Multiples of 108: 108, 216, 324, 432, 540, 648, 756, 864, 972, 1080

First 10 Multiples of 55: 55, 110, 165, 220, 275, 330, 385, 440, 495, 550

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 108 and 55 are 5940, 11880, 17820. Because 5940 is the smallest, it is the least common multiple.

The LCM of 108 and 55 is 5940.

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

• What is the LCM of 71 and 55?
• What is the LCM of 79 and 96?
• What is the LCM of 118 and 131?
• What is the LCM of 94 and 57?
• What is the LCM of 33 and 141?