What are the common multiples of 42 and 81?

Common multiples of 42 and 81 are numbers that both 42 and 81 can be divided into evenly with no remainder.

To find the common multiples of 42 and 81, we compare the list of multiples of 42 with the list of multiples of 81 to see what they have in common.

To create a list of multiples of 42, we multiply 42 by 1, 42 by 2, and so on like this:

42 x 1 = 42
42 x 2 = 84
42 x 3 = 126
42 x 4 = 168
...

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 42 and 81?"

1134, 2268, 3402, 4536, etc.

Since 1134 is the first number they have in common, 1134 is the least common multiple of 42 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 1134 (the least common multiple), so you can continue the green list above with more common multiples of 42 and 81 by simply adding 1134 to the last number on the list.

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What are the common multiples of 42 and 82?
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