What are the common multiples of 88 and 31?

Common multiples of 88 and 31 are numbers that both 88 and 31 can be divided into evenly with no remainder.

To find the common multiples of 88 and 31, we compare the list of multiples of 88 with the list of multiples of 31 to see what they have in common.

To create a list of multiples of 88, we multiply 88 by 1, 88 by 2, and so on like this:

88 x 1 = 88
88 x 2 = 176
88 x 3 = 264
88 x 4 = 352
...

Similarly, to create a list of multiples of 31, we multiply 31 by 1, 31 by 2, and so on like this:

31 x 1 = 31
31 x 2 = 62
31 x 3 = 93
31 x 4 = 124
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 88 and 31?"

2728, 5456, 8184, 10912, etc.

Since 2728 is the first number they have in common, 2728 is the least common multiple of 88 and 31.

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 2728 (the least common multiple), so you can continue the green list above with more common multiples of 88 and 31 by simply adding 2728 to the last number on the list.

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What are the common multiples of 88 and 32?
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