What is the LCM and GCF of 8 and 12?

The question "What is the LCM and GCF of 8 and 12?" can be split into two questions: "What is the LCM of 8 and 12?" and "What is the GCF of 8 and 12?"

In the question "What is the LCM and GCF of 8 and 12?", LCM is the abbreviation of Least Common Multiple and GCF is the abbreviation of Greatest Common Factor.

To find the LCM, we first list the multiples of 8 and 12 and then we find the smallest multiple they have in common. To find the multiples of any number, you simply multiply the number by 1, then by 2, then by 3 and so on. Here is the beginning list of multiples of 8 and 12:

Multiples of 8: 8, 16, 24, 32, 40, 48, etc.

Multiples of 12: 12, 24, 36, 48, 60, 72, etc.

The least multiple on the two lists that they have in common is the LCM of 8 and 12. Therefore, the LCM of 8 and 12 is 24.

To find the GCF, we first list the factors of 8 and 12 and then we find the largest factor they have in common. The factors of any number, are all the numbers that you can evenly divide into that number.

In other words, the factors of 8 are all the numbers that can evenly divide into 8, and the factors of 12 are all the numbers that can evenly divide into 12. Here are the factors for 8 and 12:

Factors of 8: 1, 2, 4, and 8.

Factors of 12: 1, 2, 3, 4, 6, and 12.

The greatest factor on the two lists that they have in common is the GCF of 8 and 12. Therefore, the GCF of 8 and 12 is 4.

In summary, the answer to the question "What is the LCM and GCF of 8 and 12?" is 24 and 4.

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