What is the LCM of 71 and 101?

One way to find the LCM of 71 and 101 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 71?
• What are the Factors of 101?

Here is the prime factorization of 71:

And this is the prime factorization of 101:

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: 71, 101

Through this we see that the LCM of 71 and 101 is 7171.

The first step to this method of finding the Least Common Multiple of 71 and 101 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, 71 and 101:

What are the Multiples of 71?

What are the Multiples of 101?

Let’s take a look at the first 10 multiples for each of these numbers, 71 and 101:

First 10 Multiples of 71: 71, 142, 213, 284, 355, 426, 497, 568, 639, 710

First 10 Multiples of 101: 101, 202, 303, 404, 505, 606, 707, 808, 909, 1010

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 71 and 101 are 7171, 14342, 21513. Because 7171 is the smallest, it is the least common multiple.

The LCM of 71 and 101 is 7171.

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

• What is the LCM of 43 and 52?
• What is the LCM of 9 and 45?
• What is the LCM of 86 and 42?
• What is the LCM of 125 and 62?
• What is the LCM of 139 and 131?