What is the LCM and GCF of 96 and 71?

The question "What is the LCM and GCF of 96 and 71?" can be split into two questions: "What is the LCM of 96 and 71?" and "What is the GCF of 96 and 71?"

In the question "What is the LCM and GCF of 96 and 71?", 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 96 and 71 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 96 and 71:

Multiples of 96: 96, 192, 288, 384, 480, 576, etc.

Multiples of 71: 71, 142, 213, 284, 355, 426, etc.

The least multiple on the two lists that they have in common is the LCM of 96 and 71. Therefore, the LCM of 96 and 71 is 6816.

To find the GCF, we first list the factors of 96 and 71 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 96 are all the numbers that can evenly divide into 96, and the factors of 71 are all the numbers that can evenly divide into 71. Here are the factors for 96 and 71:

Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.

Factors of 71: 1 and 71.

The greatest factor on the two lists that they have in common is the GCF of 96 and 71. Therefore, the GCF of 96 and 71 is 1.

In summary, the answer to the question "What is the LCM and GCF of 96 and 71?" is 6816 and 1.

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