What are the common multiples of 21 and 52?

Common multiples of 21 and 52 are numbers that both 21 and 52 can be divided into evenly with no remainder.

To find the common multiples of 21 and 52, we compare the list of multiples of 21 with the list of multiples of 52 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 52, we multiply 52 by 1, 52 by 2, and so on like this:

52 x 1 = 52
52 x 2 = 104
52 x 3 = 156
52 x 4 = 208
...

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 52?"

1092, 2184, 3276, 4368, etc.

Since 1092 is the first number they have in common, 1092 is the least common multiple of 21 and 52.

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 1092 (the least common multiple), so you can continue the green list above with more common multiples of 21 and 52 by simply adding 1092 to the last number on the list.

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What are the common multiples of 21 and 53?
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