What is the LCM and GCF of 26 and 78?

The question "What is the LCM and GCF of 26 and 78?" can be split into two questions: "What is the LCM of 26 and 78?" and "What is the GCF of 26 and 78?"

In the question "What is the LCM and GCF of 26 and 78?", 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 26 and 78 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 26 and 78:

Multiples of 26: 26, 52, 78, 104, 130, 156, etc.

Multiples of 78: 78, 156, 234, 312, 390, 468, etc.

The least multiple on the two lists that they have in common is the LCM of 26 and 78. Therefore, the LCM of 26 and 78 is 78.

To find the GCF, we first list the factors of 26 and 78 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 26 are all the numbers that can evenly divide into 26, and the factors of 78 are all the numbers that can evenly divide into 78. Here are the factors for 26 and 78:

Factors of 26: 1, 2, 13, and 26.

Factors of 78: 1, 2, 3, 6, 13, 26, 39, and 78.

The greatest factor on the two lists that they have in common is the GCF of 26 and 78. Therefore, the GCF of 26 and 78 is 26.

In summary, the answer to the question "What is the LCM and GCF of 26 and 78?" is 78 and 26.

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