What are the common multiples of 9 and 66?

Common multiples of 9 and 66 are numbers that both 9 and 66 can be divided into evenly with no remainder.

To find the common multiples of 9 and 66, we compare the list of multiples of 9 with the list of multiples of 66 to see what they have in common.

To create a list of multiples of 9, we multiply 9 by 1, 9 by 2, and so on like this:

9 x 1 = 9
9 x 2 = 18
9 x 3 = 27
9 x 4 = 36
...

Similarly, to create a list of multiples of 66, we multiply 66 by 1, 66 by 2, and so on like this:

66 x 1 = 66
66 x 2 = 132
66 x 3 = 198
66 x 4 = 264
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 9 and 66?"

198, 396, 594, 792, etc.

Since 198 is the first number they have in common, 198 is the least common multiple of 9 and 66.

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 198 (the least common multiple), so you can continue the green list above with more common multiples of 9 and 66 by simply adding 198 to the last number on the list.

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What are the common multiples of 9 and 67?
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