What are the common multiples of 65 and 36?

Common multiples of 65 and 36 are numbers that both 65 and 36 can be divided into evenly with no remainder.

To find the common multiples of 65 and 36, we compare the list of multiples of 65 with the list of multiples of 36 to see what they have in common.

To create a list of multiples of 65, we multiply 65 by 1, 65 by 2, and so on like this:

65 x 1 = 65
65 x 2 = 130
65 x 3 = 195
65 x 4 = 260
...

Similarly, to create a list of multiples of 36, we multiply 36 by 1, 36 by 2, and so on like this:

36 x 1 = 36
36 x 2 = 72
36 x 3 = 108
36 x 4 = 144
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 65 and 36?"

2340, 4680, 7020, 9360, etc.

Since 2340 is the first number they have in common, 2340 is the least common multiple of 65 and 36.

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 2340 (the least common multiple), so you can continue the green list above with more common multiples of 65 and 36 by simply adding 2340 to the last number on the list.

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