What are the common multiples of 9 and 32?

Common multiples of 9 and 32 are numbers that both 9 and 32 can be divided into evenly with no remainder.

To find the common multiples of 9 and 32, we compare the list of multiples of 9 with the list of multiples of 32 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 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
...

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 32?"

288, 576, 864, 1152, etc.

Since 288 is the first number they have in common, 288 is the least common multiple of 9 and 32.

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 288 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 32 by simply adding 288 to the last number on the list.

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What are the common multiples of 9 and 33?
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