What are the common multiples of 43 and 17?

Common multiples of 43 and 17 are numbers that both 43 and 17 can be divided into evenly with no remainder.

To find the common multiples of 43 and 17, we compare the list of multiples of 43 with the list of multiples of 17 to see what they have in common.

To create a list of multiples of 43, we multiply 43 by 1, 43 by 2, and so on like this:

43 x 1 = 43
43 x 2 = 86
43 x 3 = 129
43 x 4 = 172
...

Similarly, to create a list of multiples of 17, we multiply 17 by 1, 17 by 2, and so on like this:

17 x 1 = 17
17 x 2 = 34
17 x 3 = 51
17 x 4 = 68
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 43 and 17?"

731, 1462, 2193, 2924, etc.

Since 731 is the first number they have in common, 731 is the least common multiple of 43 and 17.

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 731 (the least common multiple), so you can continue the green list above with more common multiples of 43 and 17 by simply adding 731 to the last number on the list.

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

What are the common multiples of 43 and 18?
Did you find our explanation and solution to "Common Multiples of 43 and 17" helpful? If so, try the next problem on our list here.