Solution: The LCM of 139 and 107 is 14873
Methods
How to find the LCM of 139 and 107 using Prime Factorization
One way to find the LCM of 139 and 107 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 139?
What are the Factors of 107?
Here is the prime factorization of 139:
13
9
1
139^1
13 9 1
And this is the prime factorization of 107:
10
7
1
107^1
10 7 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: 139, 107
10
7
1
×
13
9
1
=
14873
107^1 × 139^1 = 14873
10 7 1 × 13 9 1 = 14873
Through this we see that the LCM of 139 and 107 is 14873.
How to Find the LCM of 139 and 107 by Listing Common Multiples
The first step to this method of finding the Least Common Multiple of 139 and 107 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, 139 and 107:
What are the Multiples of 139?
What are the Multiples of 107?
Let’s take a look at the first 10 multiples for each of these numbers, 139 and 107:
First 10 Multiples of 139: 139, 278, 417, 556, 695, 834, 973, 1112, 1251, 1390
First 10 Multiples of 107: 107, 214, 321, 428, 535, 642, 749, 856, 963, 1070
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 139 and 107 are 14873, 29746, 44619. Because 14873 is the smallest, it is the least common multiple.
The LCM of 139 and 107 is 14873.
Find the LCM of Other Number Pairs
Want more practice? Try some of these other LCM problems:
What is the LCM of 115 and 111?
What is the LCM of 105 and 142?
What is the LCM of 62 and 93?
What is the LCM of 42 and 125?
What is the LCM of 44 and 114?