# What is the Least Common Multiple (LCM) of 6 and 7280?

If you are searching to find out what the lowest common multiple of 6 and 7280 is then you probably figured out you are in the right place! That's exactly what this quick guide is all about. We'll walk you through how to calculate the least common multiple for any numbers you need to check. Keep reading!

First off, if you're in a rush, here's the answer to the question "what is the LCM of 6 and 7280?":

LCM(6, 7280) = 21840

## What is the Least Common Multiple?

In simple terms, the LCM is the smallest possible whole number (an integer) that divides evenly into all of the numbers in the set. It's also sometimes called the least common divisor, or LCD.

There are a number of different ways to calculate the GCF of a set of numbers depending how many numbers you have and how large they are.

For smaller numbers you can simply look at the factors or multiples for each number and find the least common multiple of them.

For 6 and 7280 those factors look like this:

• Factors for 6: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 16, 20, 21, 24, 26, 28, 30, 35, 39, 40, 42, 48, 52, 56, 60, 65, 70, 78, 80, 84, 91, 104, 105, 112, 120, 130, 140, 156, 168, 182, 195, 208, 210, 240, 260, 273, 280, 312, 336, 364, 390, 420, 455, 520, 546, 560, 624, 728, 780, 840, 910, 1040, 1092, 1365, 1456, 1560, 1680, 1820, 2184, 2730, 3120, 3640, 4368, 5460, 7280, 10920, and 21840
• Factors for 7280: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 16, 20, 21, 24, 26, 28, 30, 35, 39, 40, 42, 48, 52, 56, 60, 65, 70, 78, 80, 84, 91, 104, 105, 112, 120, 130, 140, 156, 168, 182, 195, 208, 210, 240, 260, 273, 280, 312, 336, 364, 390, 420, 455, 520, 546, 560, 624, 728, 780, 840, 910, 1040, 1092, 1365, 1456, 1560, 1680, 1820, 2184, 2730, 3120, 3640, 4368, 5460, 7280, 10920, and 21840

As you can see when you list out the factors of each number, 21840 is the greatest number that 6 and 7280 divides into.

## Prime Factors

As the numbers get larger, or you want to compare multiple numbers at the same time to find the GCF, you can see how listing out all of the factors would become too much. To fix this, you can use prime factors.

List out all of the prime factors for each number:

• Prime Factors for 6: 2 and 3
• Prime Factors for 7280: 2, 2, 2, 2, 5, 7, and 13

Now that we have the list of prime factors, we need to list out all of the prime factors as often as they occur for each given number and then multiply them together. In our example, this becomes:

LCM = 2 x 3 x 5 x 7 x 13 = 2730

## Other Ways to Calculate LCM

There are a number of other ways in which you can calculate the least common multiple of numbers, including:

• Prime factorization using exponents