What are the common multiples of 43 and 38?

Common multiples of 43 and 38 are numbers that both 43 and 38 can be divided into evenly with no remainder.

To find the common multiples of 43 and 38, we compare the list of multiples of 43 with the list of multiples of 38 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 38, we multiply 38 by 1, 38 by 2, and so on like this:

38 x 1 = 38
38 x 2 = 76
38 x 3 = 114
38 x 4 = 152
...

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 38?"

1634, 3268, 4902, 6536, etc.

Since 1634 is the first number they have in common, 1634 is the least common multiple of 43 and 38.

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 1634 (the least common multiple), so you can continue the green list above with more common multiples of 43 and 38 by simply adding 1634 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 39?
Did you find our explanation and solution to "Common Multiples of 43 and 38" helpful? If so, try the next problem on our list here.