What is the LCM of 123 and 96?

One way to find the LCM of 123 and 96 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 123?
• What are the Factors of 96?

Here is the prime factorization of 123:

And this is the prime factorization of 96:

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, 41, 2

Through this we see that the LCM of 123 and 96 is 3936.

The first step to this method of finding the Least Common Multiple of 123 and 96 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, 123 and 96:

What are the Multiples of 123?

What are the Multiples of 96?

Let’s take a look at the first 10 multiples for each of these numbers, 123 and 96:

First 10 Multiples of 123: 123, 246, 369, 492, 615, 738, 861, 984, 1107, 1230

First 10 Multiples of 96: 96, 192, 288, 384, 480, 576, 672, 768, 864, 960

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 123 and 96 are 3936, 7872, 11808. Because 3936 is the smallest, it is the least common multiple.

The LCM of 123 and 96 is 3936.

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

• What is the LCM of 105 and 89?
• What is the LCM of 1 and 90?
• What is the LCM of 66 and 12?
• What is the LCM of 146 and 139?
• What is the LCM of 144 and 53?