What are the common multiples of 26 and 37?

Common multiples of 26 and 37 are numbers that both 26 and 37 can be divided into evenly with no remainder.

To find the common multiples of 26 and 37, we compare the list of multiples of 26 with the list of multiples of 37 to see what they have in common.

To create a list of multiples of 26, we multiply 26 by 1, 26 by 2, and so on like this:

26 x 1 = 26
26 x 2 = 52
26 x 3 = 78
26 x 4 = 104
...

Similarly, to create a list of multiples of 37, we multiply 37 by 1, 37 by 2, and so on like this:

37 x 1 = 37
37 x 2 = 74
37 x 3 = 111
37 x 4 = 148
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 26 and 37?"

962, 1924, 2886, 3848, etc.

Since 962 is the first number they have in common, 962 is the least common multiple of 26 and 37.

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 962 (the least common multiple), so you can continue the green list above with more common multiples of 26 and 37 by simply adding 962 to the last number on the list.

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What are the common multiples of 26 and 38?
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