What are the common multiples of 39 and 53?

Common multiples of 39 and 53 are numbers that both 39 and 53 can be divided into evenly with no remainder.

To find the common multiples of 39 and 53, we compare the list of multiples of 39 with the list of multiples of 53 to see what they have in common.

To create a list of multiples of 39, we multiply 39 by 1, 39 by 2, and so on like this:

39 x 1 = 39
39 x 2 = 78
39 x 3 = 117
39 x 4 = 156
...

Similarly, to create a list of multiples of 53, we multiply 53 by 1, 53 by 2, and so on like this:

53 x 1 = 53
53 x 2 = 106
53 x 3 = 159
53 x 4 = 212
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 39 and 53?"

2067, 4134, 6201, 8268, etc.

Since 2067 is the first number they have in common, 2067 is the least common multiple of 39 and 53.

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 2067 (the least common multiple), so you can continue the green list above with more common multiples of 39 and 53 by simply adding 2067 to the last number on the list.

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What are the common multiples of 39 and 54?
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