What is the LCM of 142 and 113?

One way to find the LCM of 142 and 113 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 142?
• What are the Factors of 113?

Here is the prime factorization of 142:

And this is the prime factorization of 113:

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, 71, 113

Through this we see that the LCM of 142 and 113 is 16046.

The first step to this method of finding the Least Common Multiple of 142 and 113 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, 142 and 113:

What are the Multiples of 142?

What are the Multiples of 113?

Let’s take a look at the first 10 multiples for each of these numbers, 142 and 113:

First 10 Multiples of 142: 142, 284, 426, 568, 710, 852, 994, 1136, 1278, 1420

First 10 Multiples of 113: 113, 226, 339, 452, 565, 678, 791, 904, 1017, 1130

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 142 and 113 are 16046, 32092, 48138. Because 16046 is the smallest, it is the least common multiple.

The LCM of 142 and 113 is 16046.

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

• What is the LCM of 33 and 57?
• What is the LCM of 20 and 122?
• What is the LCM of 99 and 116?
• What is the LCM of 21 and 25?
• What is the LCM of 98 and 138?