What are the common multiples of 44 and 45?

Common multiples of 44 and 45 are numbers that both 44 and 45 can be divided into evenly with no remainder.

To find the common multiples of 44 and 45, we compare the list of multiples of 44 with the list of multiples of 45 to see what they have in common.

To create a list of multiples of 44, we multiply 44 by 1, 44 by 2, and so on like this:

44 x 1 = 44
44 x 2 = 88
44 x 3 = 132
44 x 4 = 176
...

Similarly, 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
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 44 and 45?"

1980, 3960, 5940, 7920, etc.

Since 1980 is the first number they have in common, 1980 is the least common multiple of 44 and 45.

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 1980 (the least common multiple), so you can continue the green list above with more common multiples of 44 and 45 by simply adding 1980 to the last number on the list.

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What are the common multiples of 44 and 46?
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