What is the LCM of 19 and 139?

Solution: The LCM of 19 and 139 is 2641

Methods

How to find the LCM of 19 and 139 using Prime Factorization

One way to find the LCM of 19 and 139 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 19:

19^1

And this is the prime factorization of 139:

139^1

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: 19, 139

19^1 × 139^1 = 2641

Through this we see that the LCM of 19 and 139 is 2641.

How to Find the LCM of 19 and 139 by Listing Common Multiples

The first step to this method of finding the Least Common Multiple of 19 and 139 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, 19 and 139:

What are the Multiples of 19?

What are the Multiples of 139?

Let’s take a look at the first 10 multiples for each of these numbers, 19 and 139:

First 10 Multiples of 19: 19, 38, 57, 76, 95, 114, 133, 152, 171, 190

First 10 Multiples of 139: 139, 278, 417, 556, 695, 834, 973, 1112, 1251, 1390

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 19 and 139 are 2641, 5282, 7923. Because 2641 is the smallest, it is the least common multiple.

The LCM of 19 and 139 is 2641.

Find the LCM of Other Number Pairs

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

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