What are the common multiples of 9 and 64?

Common multiples of 9 and 64 are numbers that both 9 and 64 can be divided into evenly with no remainder.

To find the common multiples of 9 and 64, we compare the list of multiples of 9 with the list of multiples of 64 to see what they have in common.

To create a list of multiples of 9, we multiply 9 by 1, 9 by 2, and so on like this:

9 x 1 = 9
9 x 2 = 18
9 x 3 = 27
9 x 4 = 36
...

Similarly, to create a list of multiples of 64, we multiply 64 by 1, 64 by 2, and so on like this:

64 x 1 = 64
64 x 2 = 128
64 x 3 = 192
64 x 4 = 256
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 9 and 64?"

576, 1152, 1728, 2304, etc.

Since 576 is the first number they have in common, 576 is the least common multiple of 9 and 64.

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 576 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 64 by simply adding 576 to the last number on the list.

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What are the common multiples of 9 and 65?
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