What is the LCM of 147 and 113?

One way to find the LCM of 147 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 147?
• What are the Factors of 113?

Here is the prime factorization of 147:

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: 3, 7, 113

Through this we see that the LCM of 147 and 113 is 16611.

The first step to this method of finding the Least Common Multiple of 147 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, 147 and 113:

What are the Multiples of 147?

What are the Multiples of 113?

Let’s take a look at the first 10 multiples for each of these numbers, 147 and 113:

First 10 Multiples of 147: 147, 294, 441, 588, 735, 882, 1029, 1176, 1323, 1470

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 147 and 113 are 16611, 33222, 49833. Because 16611 is the smallest, it is the least common multiple.

The LCM of 147 and 113 is 16611.

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

• What is the LCM of 148 and 64?
• What is the LCM of 121 and 46?
• What is the LCM of 150 and 107?
• What is the LCM of 114 and 88?
• What is the LCM of 68 and 144?