What are the common multiples of 72 and 2?

Common multiples of 72 and 2 are numbers that both 72 and 2 can be divided into evenly with no remainder.

To find the common multiples of 72 and 2, we compare the list of multiples of 72 with the list of multiples of 2 to see what they have in common.

To create a list of multiples of 72, we multiply 72 by 1, 72 by 2, and so on like this:

72 x 1 = 72
72 x 2 = 144
72 x 3 = 216
72 x 4 = 288
...

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

2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 72 and 2?"

72, 144, 216, 288, etc.

Since 72 is the first number they have in common, 72 is the least common multiple of 72 and 2.

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 72 (the least common multiple), so you can continue the green list above with more common multiples of 72 and 2 by simply adding 72 to the last number on the list.

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