What are the common multiples of 62 and 63?

Common multiples of 62 and 63 are numbers that both 62 and 63 can be divided into evenly with no remainder.

To find the common multiples of 62 and 63, we compare the list of multiples of 62 with the list of multiples of 63 to see what they have in common.

To create a list of multiples of 62, we multiply 62 by 1, 62 by 2, and so on like this:

62 x 1 = 62
62 x 2 = 124
62 x 3 = 186
62 x 4 = 248
...

Similarly, to create a list of multiples of 63, we multiply 63 by 1, 63 by 2, and so on like this:

63 x 1 = 63
63 x 2 = 126
63 x 3 = 189
63 x 4 = 252
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 62 and 63?"

3906, 7812, 11718, 15624, etc.

Since 3906 is the first number they have in common, 3906 is the least common multiple of 62 and 63.

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 3906 (the least common multiple), so you can continue the green list above with more common multiples of 62 and 63 by simply adding 3906 to the last number on the list.

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