What are the common multiples of 89 and 37?

Common multiples of 89 and 37 are numbers that both 89 and 37 can be divided into evenly with no remainder.

To find the common multiples of 89 and 37, we compare the list of multiples of 89 with the list of multiples of 37 to see what they have in common.

To create a list of multiples of 89, we multiply 89 by 1, 89 by 2, and so on like this:

89 x 1 = 89
89 x 2 = 178
89 x 3 = 267
89 x 4 = 356
...

Similarly, 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
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 89 and 37?"

3293, 6586, 9879, 13172, etc.

Since 3293 is the first number they have in common, 3293 is the least common multiple of 89 and 37.

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 3293 (the least common multiple), so you can continue the green list above with more common multiples of 89 and 37 by simply adding 3293 to the last number on the list.

Common Multiples Calculator
Need another answer? Get common multiples here:

What are the common multiples of 89 and 38?
Did you find our explanation and solution to "Common Multiples of 89 and 37" helpful? If so, try the next problem on our list here.