What are the common multiples of 99 and 85?

Common multiples of 99 and 85 are numbers that both 99 and 85 can be divided into evenly with no remainder.

To find the common multiples of 99 and 85, we compare the list of multiples of 99 with the list of multiples of 85 to see what they have in common.

To create a list of multiples of 99, we multiply 99 by 1, 99 by 2, and so on like this:

99 x 1 = 99
99 x 2 = 198
99 x 3 = 297
99 x 4 = 396
...

Similarly, to create a list of multiples of 85, we multiply 85 by 1, 85 by 2, and so on like this:

85 x 1 = 85
85 x 2 = 170
85 x 3 = 255
85 x 4 = 340
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 99 and 85?"

8415, 16830, 25245, 33660, etc.

Since 8415 is the first number they have in common, 8415 is the least common multiple of 99 and 85.

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 8415 (the least common multiple), so you can continue the green list above with more common multiples of 99 and 85 by simply adding 8415 to the last number on the list.

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What are the common multiples of 99 and 86?
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