What are the common multiples of 63 and 43?

Common multiples of 63 and 43 are numbers that both 63 and 43 can be divided into evenly with no remainder.

To find the common multiples of 63 and 43, we compare the list of multiples of 63 with the list of multiples of 43 to see what they have in common.

To create a list of multiples of 63, we multiply 63 by 1, 63 by 2, and so on like this:

63 x 1 = 63
63 x 2 = 126
63 x 3 = 189
63 x 4 = 252
...

Similarly, 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
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 63 and 43?"

2709, 5418, 8127, 10836, etc.

Since 2709 is the first number they have in common, 2709 is the least common multiple of 63 and 43.

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 2709 (the least common multiple), so you can continue the green list above with more common multiples of 63 and 43 by simply adding 2709 to the last number on the list.

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What are the common multiples of 63 and 44?
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