What are the common multiples of 83 and 86?

Common multiples of 83 and 86 are numbers that both 83 and 86 can be divided into evenly with no remainder.

To find the common multiples of 83 and 86, we compare the list of multiples of 83 with the list of multiples of 86 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 86, we multiply 86 by 1, 86 by 2, and so on like this:

86 x 1 = 86
86 x 2 = 172
86 x 3 = 258
86 x 4 = 344
...

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 86?"

7138, 14276, 21414, 28552, etc.

Since 7138 is the first number they have in common, 7138 is the least common multiple of 83 and 86.

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 7138 (the least common multiple), so you can continue the green list above with more common multiples of 83 and 86 by simply adding 7138 to the last number on the list.

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