What is the LCM of 111 and 80?

One way to find the LCM of 111 and 80 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 111?
• What are the Factors of 80?

Here is the prime factorization of 111:

And this is the prime factorization of 80:

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: 3, 37, 2, 5

Through this we see that the LCM of 111 and 80 is 8880.

The first step to this method of finding the Least Common Multiple of 111 and 80 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, 111 and 80:

What are the Multiples of 111?

What are the Multiples of 80?

Let’s take a look at the first 10 multiples for each of these numbers, 111 and 80:

First 10 Multiples of 111: 111, 222, 333, 444, 555, 666, 777, 888, 999, 1110

First 10 Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800

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 111 and 80 are 8880, 17760, 26640. Because 8880 is the smallest, it is the least common multiple.

The LCM of 111 and 80 is 8880.

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

• What is the LCM of 137 and 125?
• What is the LCM of 29 and 59?
• What is the LCM of 17 and 133?
• What is the LCM of 89 and 11?
• What is the LCM of 34 and 42?