What are the common multiples of 89 and 35?

Common multiples of 89 and 35 are numbers that both 89 and 35 can be divided into evenly with no remainder.

To find the common multiples of 89 and 35, we compare the list of multiples of 89 with the list of multiples of 35 to see what they have in common.

To create a list of multiples of 89, we multiply 89 by 1, 89 by 2, and so on like this:

89 x 1 = 89
89 x 2 = 178
89 x 3 = 267
89 x 4 = 356
...

Similarly, to create a list of multiples of 35, we multiply 35 by 1, 35 by 2, and so on like this:

35 x 1 = 35
35 x 2 = 70
35 x 3 = 105
35 x 4 = 140
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 89 and 35?"

3115, 6230, 9345, 12460, etc.

Since 3115 is the first number they have in common, 3115 is the least common multiple of 89 and 35.

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 3115 (the least common multiple), so you can continue the green list above with more common multiples of 89 and 35 by simply adding 3115 to the last number on the list.

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What are the common multiples of 89 and 36?
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