What are the common multiples of 46 and 47?

Common multiples of 46 and 47 are numbers that both 46 and 47 can be divided into evenly with no remainder.

To find the common multiples of 46 and 47, we compare the list of multiples of 46 with the list of multiples of 47 to see what they have in common.

To create a list of multiples of 46, we multiply 46 by 1, 46 by 2, and so on like this:

46 x 1 = 46
46 x 2 = 92
46 x 3 = 138
46 x 4 = 184
...

Similarly, to create a list of multiples of 47, we multiply 47 by 1, 47 by 2, and so on like this:

47 x 1 = 47
47 x 2 = 94
47 x 3 = 141
47 x 4 = 188
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 46 and 47?"

2162, 4324, 6486, 8648, etc.

Since 2162 is the first number they have in common, 2162 is the least common multiple of 46 and 47.

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 2162 (the least common multiple), so you can continue the green list above with more common multiples of 46 and 47 by simply adding 2162 to the last number on the list.

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