What are the common multiples of 43 and 96?

Common multiples of 43 and 96 are numbers that both 43 and 96 can be divided into evenly with no remainder.

To find the common multiples of 43 and 96, we compare the list of multiples of 43 with the list of multiples of 96 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 96, we multiply 96 by 1, 96 by 2, and so on like this:

96 x 1 = 96
96 x 2 = 192
96 x 3 = 288
96 x 4 = 384
...

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 96?"

4128, 8256, 12384, 16512, etc.

Since 4128 is the first number they have in common, 4128 is the least common multiple of 43 and 96.

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 4128 (the least common multiple), so you can continue the green list above with more common multiples of 43 and 96 by simply adding 4128 to the last number on the list.

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What are the common multiples of 43 and 97?
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