What are the common multiples of 37 and 68?

Common multiples of 37 and 68 are numbers that both 37 and 68 can be divided into evenly with no remainder.

To find the common multiples of 37 and 68, we compare the list of multiples of 37 with the list of multiples of 68 to see what they have in common.

To create a list of multiples of 37, we multiply 37 by 1, 37 by 2, and so on like this:

37 x 1 = 37
37 x 2 = 74
37 x 3 = 111
37 x 4 = 148
...

Similarly, to create a list of multiples of 68, we multiply 68 by 1, 68 by 2, and so on like this:

68 x 1 = 68
68 x 2 = 136
68 x 3 = 204
68 x 4 = 272
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 37 and 68?"

2516, 5032, 7548, 10064, etc.

Since 2516 is the first number they have in common, 2516 is the least common multiple of 37 and 68.

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 2516 (the least common multiple), so you can continue the green list above with more common multiples of 37 and 68 by simply adding 2516 to the last number on the list.

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What are the common multiples of 37 and 69?
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