What are the common multiples of 45 and 27?

Common multiples of 45 and 27 are numbers that both 45 and 27 can be divided into evenly with no remainder.

To find the common multiples of 45 and 27, we compare the list of multiples of 45 with the list of multiples of 27 to see what they have in common.

To create a list of multiples of 45, we multiply 45 by 1, 45 by 2, and so on like this:

45 x 1 = 45
45 x 2 = 90
45 x 3 = 135
45 x 4 = 180
...

Similarly, to create a list of multiples of 27, we multiply 27 by 1, 27 by 2, and so on like this:

27 x 1 = 27
27 x 2 = 54
27 x 3 = 81
27 x 4 = 108
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 45 and 27?"

135, 270, 405, 540, etc.

Since 135 is the first number they have in common, 135 is the least common multiple of 45 and 27.

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 135 (the least common multiple), so you can continue the green list above with more common multiples of 45 and 27 by simply adding 135 to the last number on the list.

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What are the common multiples of 45 and 28?
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