What are the common multiples of 21 and 55?

Common multiples of 21 and 55 are numbers that both 21 and 55 can be divided into evenly with no remainder.

To find the common multiples of 21 and 55, we compare the list of multiples of 21 with the list of multiples of 55 to see what they have in common.

To create a list of multiples of 21, we multiply 21 by 1, 21 by 2, and so on like this:

21 x 1 = 21
21 x 2 = 42
21 x 3 = 63
21 x 4 = 84
...

Similarly, to create a list of multiples of 55, we multiply 55 by 1, 55 by 2, and so on like this:

55 x 1 = 55
55 x 2 = 110
55 x 3 = 165
55 x 4 = 220
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 21 and 55?"

1155, 2310, 3465, 4620, etc.

Since 1155 is the first number they have in common, 1155 is the least common multiple of 21 and 55.

Note: Our lists are shortened because they go on forever, but can you see the pattern when you look at the answer in green above? The common multiples are in intervals of 1155 (the least common multiple), so you can continue the green list above with more common multiples of 21 and 55 by simply adding 1155 to the last number on the list.

Common Multiples Calculator
Need another answer? Get common multiples here:

What are the common multiples of 21 and 56?
Did you find our explanation and solution to "Common Multiples of 21 and 55" helpful? If so, try the next problem on our list here.