What is the LCM of 24 and 56?

One way to find the LCM of 24 and 56 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 24?
• What are the Factors of 56?

Here is the prime factorization of 24:

And this is the prime factorization of 56:

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

Through this we see that the LCM of 24 and 56 is 168.

The first step to this method of finding the Least Common Multiple of 24 and 56 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, 24 and 56:

What are the Multiples of 24?

What are the Multiples of 56?

Let’s take a look at the first 10 multiples for each of these numbers, 24 and 56:

First 10 Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240

First 10 Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560

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 24 and 56 are 168, 336, 504. Because 168 is the smallest, it is the least common multiple.

The LCM of 24 and 56 is 168.

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

• What is the LCM of 65 and 26?
• What is the LCM of 42 and 150?
• What is the LCM of 115 and 90?
• What is the LCM of 140 and 91?
• What is the LCM of 78 and 29?