What are the common multiples of 32 and 23?

Common multiples of 32 and 23 are numbers that both 32 and 23 can be divided into evenly with no remainder.

To find the common multiples of 32 and 23, we compare the list of multiples of 32 with the list of multiples of 23 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 23, we multiply 23 by 1, 23 by 2, and so on like this:

23 x 1 = 23
23 x 2 = 46
23 x 3 = 69
23 x 4 = 92
...

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 23?"

736, 1472, 2208, 2944, etc.

Since 736 is the first number they have in common, 736 is the least common multiple of 32 and 23.

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 736 (the least common multiple), so you can continue the green list above with more common multiples of 32 and 23 by simply adding 736 to the last number on the list.

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What are the common multiples of 32 and 24?
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