Solution: The LCM of 62 and 92 is 2852
Methods
How to find the LCM of 62 and 92 using Prime Factorization
One way to find the LCM of 62 and 92 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 62?
What are the Factors of 92?
Here is the prime factorization of 62:
2
1
×
3
1
1
2^1 × 31^1
2 1 × 3 1 1
And this is the prime factorization of 92:
2
2
×
2
3
1
2^2 × 23^1
2 2 × 2 3 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, 31, 23
2
2
×
2
3
1
×
3
1
1
=
2852
2^2 × 23^1 × 31^1 = 2852
2 2 × 2 3 1 × 3 1 1 = 2852
Through this we see that the LCM of 62 and 92 is 2852.
How to Find the LCM of 62 and 92 by Listing Common Multiples
The first step to this method of finding the Least Common Multiple of 62 and 92 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, 62 and 92:
What are the Multiples of 62?
What are the Multiples of 92?
Let’s take a look at the first 10 multiples for each of these numbers, 62 and 92:
First 10 Multiples of 62: 62, 124, 186, 248, 310, 372, 434, 496, 558, 620
First 10 Multiples of 92: 92, 184, 276, 368, 460, 552, 644, 736, 828, 920
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 62 and 92 are 2852, 5704, 8556. Because 2852 is the smallest, it is the least common multiple.
The LCM of 62 and 92 is 2852.
Find the LCM of Other Number Pairs
Want more practice? Try some of these other LCM problems:
What is the LCM of 16 and 134?
What is the LCM of 141 and 83?
What is the LCM of 109 and 130?
What is the LCM of 51 and 31?
What is the LCM of 120 and 107?