What are the common multiples of 61 and 41?

Common multiples of 61 and 41 are numbers that both 61 and 41 can be divided into evenly with no remainder.

To find the common multiples of 61 and 41, we compare the list of multiples of 61 with the list of multiples of 41 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 41, we multiply 41 by 1, 41 by 2, and so on like this:

41 x 1 = 41
41 x 2 = 82
41 x 3 = 123
41 x 4 = 164
...

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 41?"

2501, 5002, 7503, 10004, etc.

Since 2501 is the first number they have in common, 2501 is the least common multiple of 61 and 41.

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 2501 (the least common multiple), so you can continue the green list above with more common multiples of 61 and 41 by simply adding 2501 to the last number on the list.

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What are the common multiples of 61 and 42?
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