What are the common multiples of 72 and 81?

Common multiples of 72 and 81 are numbers that both 72 and 81 can be divided into evenly with no remainder.

To find the common multiples of 72 and 81, we compare the list of multiples of 72 with the list of multiples of 81 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 81, we multiply 81 by 1, 81 by 2, and so on like this:

81 x 1 = 81
81 x 2 = 162
81 x 3 = 243
81 x 4 = 324
...

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 81?"

648, 1296, 1944, 2592, etc.

Since 648 is the first number they have in common, 648 is the least common multiple of 72 and 81.

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 648 (the least common multiple), so you can continue the green list above with more common multiples of 72 and 81 by simply adding 648 to the last number on the list.

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What are the common multiples of 72 and 82?
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