What is the LCM of 132 and 93?

Solution: The LCM of 132 and 93 is 4092

Methods

How to find the LCM of 132 and 93 using Prime Factorization

One way to find the LCM of 132 and 93 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:

Here is the prime factorization of 132:

2^2 × 3^1 × 11^1

And this is the prime factorization of 93:

3^1 × 31^1

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, 11, 31

2^2 × 3^1 × 11^1 × 31^1 = 4092

Through this we see that the LCM of 132 and 93 is 4092.

How to Find the LCM of 132 and 93 by Listing Common Multiples

The first step to this method of finding the Least Common Multiple of 132 and 93 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, 132 and 93:

What are the Multiples of 132?

What are the Multiples of 93?

Let’s take a look at the first 10 multiples for each of these numbers, 132 and 93:

First 10 Multiples of 132: 132, 264, 396, 528, 660, 792, 924, 1056, 1188, 1320

First 10 Multiples of 93: 93, 186, 279, 372, 465, 558, 651, 744, 837, 930

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 132 and 93 are 4092, 8184, 12276. Because 4092 is the smallest, it is the least common multiple.

The LCM of 132 and 93 is 4092.

Find the LCM of Other Number Pairs

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

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