What are the common multiples of 33 and 1?

Common multiples of 33 and 1 are numbers that both 33 and 1 can be divided into evenly with no remainder.

To find the common multiples of 33 and 1, we compare the list of multiples of 33 with the list of multiples of 1 to see what they have in common.

To create a list of multiples of 33, we multiply 33 by 1, 33 by 2, and so on like this:

33 x 1 = 33
33 x 2 = 66
33 x 3 = 99
33 x 4 = 132
...

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

1 x 1 = 1
1 x 2 = 2
1 x 3 = 3
1 x 4 = 4
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 33 and 1?"

33, 66, 99, 132, etc.

Since 33 is the first number they have in common, 33 is the least common multiple of 33 and 1.

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 33 (the least common multiple), so you can continue the green list above with more common multiples of 33 and 1 by simply adding 33 to the last number on the list.

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