What are the common multiples of 83 and 39?

Common multiples of 83 and 39 are numbers that both 83 and 39 can be divided into evenly with no remainder.

To find the common multiples of 83 and 39, we compare the list of multiples of 83 with the list of multiples of 39 to see what they have in common.

To create a list of multiples of 83, we multiply 83 by 1, 83 by 2, and so on like this:

83 x 1 = 83
83 x 2 = 166
83 x 3 = 249
83 x 4 = 332
...

Similarly, 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
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 83 and 39?"

3237, 6474, 9711, 12948, etc.

Since 3237 is the first number they have in common, 3237 is the least common multiple of 83 and 39.

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 3237 (the least common multiple), so you can continue the green list above with more common multiples of 83 and 39 by simply adding 3237 to the last number on the list.

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What are the common multiples of 83 and 40?
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