What are the common multiples of 72 and 61?

Common multiples of 72 and 61 are numbers that both 72 and 61 can be divided into evenly with no remainder.

To find the common multiples of 72 and 61, we compare the list of multiples of 72 with the list of multiples of 61 to see what they have in common.

To create a list of multiples of 72, we multiply 72 by 1, 72 by 2, and so on like this:

72 x 1 = 72
72 x 2 = 144
72 x 3 = 216
72 x 4 = 288
...

Similarly, to create a list of multiples of 61, we multiply 61 by 1, 61 by 2, and so on like this:

61 x 1 = 61
61 x 2 = 122
61 x 3 = 183
61 x 4 = 244
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 72 and 61?"

4392, 8784, 13176, 17568, etc.

Since 4392 is the first number they have in common, 4392 is the least common multiple of 72 and 61.

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 4392 (the least common multiple), so you can continue the green list above with more common multiples of 72 and 61 by simply adding 4392 to the last number on the list.

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