# What's the Lowest Common Multiple (LCM) of 12 and 15?

Each number is divided by its LCM.

To arrive at our final solution, we multiply the LCM by these two quotients:

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The LCM is

The LCM is the least common multiple. We can find the LCM by listing the multiples of the two numbers and identifying the lowest multiple they have in common.

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I start with a prime factorization of both numbers:

To find the LCM, we want to have all the prime factors from both numbers accounted for.

For instance, there are two 2s (in the 12). Let's put those in:

There is one 3 in both the 12 and the 15, so we need one 3:

And there is one 5 (in the 15) so let's put that in:

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Using the relation is an additional strategy.

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The lowest common multiple (LCM) of 12 and 15 is 60.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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