What is the LCM of 102 and 107?

One way to find the LCM of 102 and 107 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 102?
• What are the Factors of 107?

Here is the prime factorization of 102:

And this is the prime factorization of 107:

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, 17, 107

Through this we see that the LCM of 102 and 107 is 10914.

The first step to this method of finding the Least Common Multiple of 102 and 107 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, 102 and 107:

What are the Multiples of 102?

What are the Multiples of 107?

Let’s take a look at the first 10 multiples for each of these numbers, 102 and 107:

First 10 Multiples of 102: 102, 204, 306, 408, 510, 612, 714, 816, 918, 1020

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

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 102 and 107 are 10914, 21828, 32742. Because 10914 is the smallest, it is the least common multiple.

The LCM of 102 and 107 is 10914.

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

• What is the LCM of 109 and 96?
• What is the LCM of 145 and 136?
• What is the LCM of 105 and 58?
• What is the LCM of 24 and 7?
• What is the LCM of 73 and 106?