What are the common multiples of 43 and 82?

Common multiples of 43 and 82 are numbers that both 43 and 82 can be divided into evenly with no remainder.

To find the common multiples of 43 and 82, we compare the list of multiples of 43 with the list of multiples of 82 to see what they have in common.

To create a list of multiples of 43, we multiply 43 by 1, 43 by 2, and so on like this:

43 x 1 = 43
43 x 2 = 86
43 x 3 = 129
43 x 4 = 172
...

Similarly, to create a list of multiples of 82, we multiply 82 by 1, 82 by 2, and so on like this:

82 x 1 = 82
82 x 2 = 164
82 x 3 = 246
82 x 4 = 328
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 43 and 82?"

3526, 7052, 10578, 14104, etc.

Since 3526 is the first number they have in common, 3526 is the least common multiple of 43 and 82.

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 3526 (the least common multiple), so you can continue the green list above with more common multiples of 43 and 82 by simply adding 3526 to the last number on the list.

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What are the common multiples of 43 and 83?
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