What are the common multiples of 32 and 63?

Common multiples of 32 and 63 are numbers that both 32 and 63 can be divided into evenly with no remainder.

To find the common multiples of 32 and 63, we compare the list of multiples of 32 with the list of multiples of 63 to see what they have in common.

To create a list of multiples of 32, we multiply 32 by 1, 32 by 2, and so on like this:

32 x 1 = 32
32 x 2 = 64
32 x 3 = 96
32 x 4 = 128
...

Similarly, to create a list of multiples of 63, we multiply 63 by 1, 63 by 2, and so on like this:

63 x 1 = 63
63 x 2 = 126
63 x 3 = 189
63 x 4 = 252
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 32 and 63?"

2016, 4032, 6048, 8064, etc.

Since 2016 is the first number they have in common, 2016 is the least common multiple of 32 and 63.

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 2016 (the least common multiple), so you can continue the green list above with more common multiples of 32 and 63 by simply adding 2016 to the last number on the list.

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