What are the common multiples of 97 and 87?

Common multiples of 97 and 87 are numbers that both 97 and 87 can be divided into evenly with no remainder.

To find the common multiples of 97 and 87, we compare the list of multiples of 97 with the list of multiples of 87 to see what they have in common.

To create a list of multiples of 97, we multiply 97 by 1, 97 by 2, and so on like this:

97 x 1 = 97
97 x 2 = 194
97 x 3 = 291
97 x 4 = 388
...

Similarly, to create a list of multiples of 87, we multiply 87 by 1, 87 by 2, and so on like this:

87 x 1 = 87
87 x 2 = 174
87 x 3 = 261
87 x 4 = 348
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 97 and 87?"

8439, 16878, 25317, 33756, etc.

Since 8439 is the first number they have in common, 8439 is the least common multiple of 97 and 87.

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 8439 (the least common multiple), so you can continue the green list above with more common multiples of 97 and 87 by simply adding 8439 to the last number on the list.

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What are the common multiples of 97 and 88?
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