Solution: The LCM of 86 and 22 is 946
Methods
How to find the LCM of 86 and 22 using Prime Factorization
One way to find the LCM of 86 and 22 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 86?
What are the Factors of 22?
Here is the prime factorization of 86:
2
1
×
4
3
1
2^1 × 43^1
2 1 × 4 3 1
And this is the prime factorization of 22:
2
1
×
1
1
1
2^1 × 11^1
2 1 × 1 1 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, 43, 11
2
1
×
1
1
1
×
4
3
1
=
946
2^1 × 11^1 × 43^1 = 946
2 1 × 1 1 1 × 4 3 1 = 946
Through this we see that the LCM of 86 and 22 is 946.
How to Find the LCM of 86 and 22 by Listing Common Multiples
The first step to this method of finding the Least Common Multiple of 86 and 22 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, 86 and 22:
What are the Multiples of 86?
What are the Multiples of 22?
Let’s take a look at the first 10 multiples for each of these numbers, 86 and 22:
First 10 Multiples of 86: 86, 172, 258, 344, 430, 516, 602, 688, 774, 860
First 10 Multiples of 22: 22, 44, 66, 88, 110, 132, 154, 176, 198, 220
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 86 and 22 are 946, 1892, 2838. Because 946 is the smallest, it is the least common multiple.
The LCM of 86 and 22 is 946.
Find the LCM of Other Number Pairs
Want more practice? Try some of these other LCM problems:
What is the LCM of 19 and 37?
What is the LCM of 107 and 66?
What is the LCM of 2 and 133?
What is the LCM of 129 and 34?
What is the LCM of 96 and 112?