What is the LCM of 126 and 119?

One way to find the LCM of 126 and 119 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 126?
• What are the Factors of 119?

Here is the prime factorization of 126:

And this is the prime factorization of 119:

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, 7, 17

Through this we see that the LCM of 126 and 119 is 2142.

The first step to this method of finding the Least Common Multiple of 126 and 119 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, 126 and 119:

What are the Multiples of 126?

What are the Multiples of 119?

Let’s take a look at the first 10 multiples for each of these numbers, 126 and 119:

First 10 Multiples of 126: 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260

First 10 Multiples of 119: 119, 238, 357, 476, 595, 714, 833, 952, 1071, 1190

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 126 and 119 are 2142, 4284, 6426. Because 2142 is the smallest, it is the least common multiple.

The LCM of 126 and 119 is 2142.

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

• What is the LCM of 8 and 38?
• What is the LCM of 147 and 129?
• What is the LCM of 76 and 108?
• What is the LCM of 145 and 73?
• What is the LCM of 23 and 48?