What is the LCM of 129 and 141?

One way to find the LCM of 129 and 141 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 129?
• What are the Factors of 141?

Here is the prime factorization of 129:

And this is the prime factorization of 141:

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: 3, 43, 47

Through this we see that the LCM of 129 and 141 is 6063.

The first step to this method of finding the Least Common Multiple of 129 and 141 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, 129 and 141:

What are the Multiples of 129?

What are the Multiples of 141?

Let’s take a look at the first 10 multiples for each of these numbers, 129 and 141:

First 10 Multiples of 129: 129, 258, 387, 516, 645, 774, 903, 1032, 1161, 1290

First 10 Multiples of 141: 141, 282, 423, 564, 705, 846, 987, 1128, 1269, 1410

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 129 and 141 are 6063, 12126, 18189. Because 6063 is the smallest, it is the least common multiple.

The LCM of 129 and 141 is 6063.

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

• What is the LCM of 39 and 10?
• What is the LCM of 86 and 143?
• What is the LCM of 130 and 79?
• What is the LCM of 90 and 131?
• What is the LCM of 47 and 45?