What are the common multiples of 83 and 62?

Common multiples of 83 and 62 are numbers that both 83 and 62 can be divided into evenly with no remainder.

To find the common multiples of 83 and 62, we compare the list of multiples of 83 with the list of multiples of 62 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 62, we multiply 62 by 1, 62 by 2, and so on like this:

62 x 1 = 62
62 x 2 = 124
62 x 3 = 186
62 x 4 = 248
...

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 62?"

5146, 10292, 15438, 20584, etc.

Since 5146 is the first number they have in common, 5146 is the least common multiple of 83 and 62.

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 5146 (the least common multiple), so you can continue the green list above with more common multiples of 83 and 62 by simply adding 5146 to the last number on the list.

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