What are the common multiples of 61 and 97?

Common multiples of 61 and 97 are numbers that both 61 and 97 can be divided into evenly with no remainder.

To find the common multiples of 61 and 97, we compare the list of multiples of 61 with the list of multiples of 97 to see what they have in common.

To create a list of multiples of 61, we multiply 61 by 1, 61 by 2, and so on like this:

61 x 1 = 61
61 x 2 = 122
61 x 3 = 183
61 x 4 = 244
...

Similarly, to create a list of multiples of 97, we multiply 97 by 1, 97 by 2, and so on like this:

97 x 1 = 97
97 x 2 = 194
97 x 3 = 291
97 x 4 = 388
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 61 and 97?"

5917, 11834, 17751, 23668, etc.

Since 5917 is the first number they have in common, 5917 is the least common multiple of 61 and 97.

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 5917 (the least common multiple), so you can continue the green list above with more common multiples of 61 and 97 by simply adding 5917 to the last number on the list.

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What are the common multiples of 61 and 98?
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