What are the common multiples of 97 and 13?

Common multiples of 97 and 13 are numbers that both 97 and 13 can be divided into evenly with no remainder.

To find the common multiples of 97 and 13, we compare the list of multiples of 97 with the list of multiples of 13 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 13, we multiply 13 by 1, 13 by 2, and so on like this:

13 x 1 = 13
13 x 2 = 26
13 x 3 = 39
13 x 4 = 52
...

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 13?"

1261, 2522, 3783, 5044, etc.

Since 1261 is the first number they have in common, 1261 is the least common multiple of 97 and 13.

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 1261 (the least common multiple), so you can continue the green list above with more common multiples of 97 and 13 by simply adding 1261 to the last number on the list.

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

What are the common multiples of 97 and 14?
Did you find our explanation and solution to "Common Multiples of 97 and 13" helpful? If so, try the next problem on our list here.