What is the LCM of 23 and 47?

One way to find the LCM of 23 and 47 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 23?
• What are the Factors of 47?

Here is the prime factorization of 23:

And this is the prime factorization of 47:

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: 23, 47

Through this we see that the LCM of 23 and 47 is 1081.

The first step to this method of finding the Least Common Multiple of 23 and 47 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, 23 and 47:

What are the Multiples of 23?

What are the Multiples of 47?

Let’s take a look at the first 10 multiples for each of these numbers, 23 and 47:

First 10 Multiples of 23: 23, 46, 69, 92, 115, 138, 161, 184, 207, 230

First 10 Multiples of 47: 47, 94, 141, 188, 235, 282, 329, 376, 423, 470

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 23 and 47 are 1081, 2162, 3243. Because 1081 is the smallest, it is the least common multiple.

The LCM of 23 and 47 is 1081.

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

• What is the LCM of 90 and 119?
• What is the LCM of 56 and 118?
• What is the LCM of 19 and 128?
• What is the LCM of 74 and 136?
• What is the LCM of 95 and 77?