What is the LCM of 139 and 108?

One way to find the LCM of 139 and 108 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 139?
• What are the Factors of 108?

Here is the prime factorization of 139:

And this is the prime factorization of 108:

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: 139, 2, 3

Through this we see that the LCM of 139 and 108 is 15012.

The first step to this method of finding the Least Common Multiple of 139 and 108 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, 139 and 108:

What are the Multiples of 139?

What are the Multiples of 108?

Let’s take a look at the first 10 multiples for each of these numbers, 139 and 108:

First 10 Multiples of 139: 139, 278, 417, 556, 695, 834, 973, 1112, 1251, 1390

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

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 139 and 108 are 15012, 30024, 45036. Because 15012 is the smallest, it is the least common multiple.

The LCM of 139 and 108 is 15012.

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

• What is the LCM of 23 and 49?
• What is the LCM of 28 and 78?
• What is the LCM of 147 and 98?
• What is the LCM of 59 and 137?
• What is the LCM of 140 and 69?