What is the LCM and GCF of 13 and 4?

The question "What is the LCM and GCF of 13 and 4?" can be split into two questions: "What is the LCM of 13 and 4?" and "What is the GCF of 13 and 4?"

In the question "What is the LCM and GCF of 13 and 4?", 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 13 and 4 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 13 and 4:

Multiples of 13: 13, 26, 39, 52, 65, 78, etc.

Multiples of 4: 4, 8, 12, 16, 20, 24, etc.

The least multiple on the two lists that they have in common is the LCM of 13 and 4. Therefore, the LCM of 13 and 4 is 52.

To find the GCF, we first list the factors of 13 and 4 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 13 are all the numbers that can evenly divide into 13, and the factors of 4 are all the numbers that can evenly divide into 4. Here are the factors for 13 and 4:

Factors of 13: 1 and 13.

Factors of 4: 1, 2, and 4.

The greatest factor on the two lists that they have in common is the GCF of 13 and 4. Therefore, the GCF of 13 and 4 is 1.

In summary, the answer to the question "What is the LCM and GCF of 13 and 4?" is 52 and 1.

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