What is the LCM and GCF of 54 and 81?

The question "What is the LCM and GCF of 54 and 81?" can be split into two questions: "What is the LCM of 54 and 81?" and "What is the GCF of 54 and 81?"

In the question "What is the LCM and GCF of 54 and 81?", 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 54 and 81 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 54 and 81:

Multiples of 54: 54, 108, 162, 216, 270, 324, etc.

Multiples of 81: 81, 162, 243, 324, 405, 486, etc.

The least multiple on the two lists that they have in common is the LCM of 54 and 81. Therefore, the LCM of 54 and 81 is 162.

To find the GCF, we first list the factors of 54 and 81 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 54 are all the numbers that can evenly divide into 54, and the factors of 81 are all the numbers that can evenly divide into 81. Here are the factors for 54 and 81:

Factors of 54: 1, 2, 3, 6, 9, 18, 27, and 54.

Factors of 81: 1, 3, 9, 27, and 81.

The greatest factor on the two lists that they have in common is the GCF of 54 and 81. Therefore, the GCF of 54 and 81 is 27.

In summary, the answer to the question "What is the LCM and GCF of 54 and 81?" is 162 and 27.

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