Solution: The LCM of 143 and 92 is 13156
Methods
How to find the LCM of 143 and 92 using Prime Factorization
One way to find the LCM of 143 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 143?
What are the Factors of 92?
Here is the prime factorization of 143:
1
1
1
×
1
3
1
11^1 × 13^1
1 1 1 × 1 3 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: 11, 13, 2, 23
2
2
×
1
1
1
×
1
3
1
×
2
3
1
=
13156
2^2 × 11^1 × 13^1 × 23^1 = 13156
2 2 × 1 1 1 × 1 3 1 × 2 3 1 = 13156
Through this we see that the LCM of 143 and 92 is 13156.
How to Find the LCM of 143 and 92 by Listing Common Multiples
The first step to this method of finding the Least Common Multiple of 143 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, 143 and 92:
What are the Multiples of 143?
What are the Multiples of 92?
Let’s take a look at the first 10 multiples for each of these numbers, 143 and 92:
First 10 Multiples of 143: 143, 286, 429, 572, 715, 858, 1001, 1144, 1287, 1430
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 143 and 92 are 13156, 26312, 39468. Because 13156 is the smallest, it is the least common multiple.
The LCM of 143 and 92 is 13156.
Find the LCM of Other Number Pairs
Want more practice? Try some of these other LCM problems:
What is the LCM of 114 and 112?
What is the LCM of 50 and 67?
What is the LCM of 100 and 85?
What is the LCM of 126 and 135?
What is the LCM of 124 and 6?