What are the common multiples of 21 and 47?

Common multiples of 21 and 47 are numbers that both 21 and 47 can be divided into evenly with no remainder.

To find the common multiples of 21 and 47, we compare the list of multiples of 21 with the list of multiples of 47 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 47, we multiply 47 by 1, 47 by 2, and so on like this:

47 x 1 = 47
47 x 2 = 94
47 x 3 = 141
47 x 4 = 188
...

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 47?"

987, 1974, 2961, 3948, etc.

Since 987 is the first number they have in common, 987 is the least common multiple of 21 and 47.

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 987 (the least common multiple), so you can continue the green list above with more common multiples of 21 and 47 by simply adding 987 to the last number on the list.

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What are the common multiples of 21 and 48?
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