What is the LCM and GCF of 2 and 5?

The question "What is the LCM and GCF of 2 and 5?" can be split into two questions: "What is the LCM of 2 and 5?" and "What is the GCF of 2 and 5?"

In the question "What is the LCM and GCF of 2 and 5?", 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 2 and 5 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 2 and 5:

Multiples of 2: 2, 4, 6, 8, 10, 12, etc.

Multiples of 5: 5, 10, 15, 20, 25, 30, etc.

The least multiple on the two lists that they have in common is the LCM of 2 and 5. Therefore, the LCM of 2 and 5 is 10.

To find the GCF, we first list the factors of 2 and 5 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 2 are all the numbers that can evenly divide into 2, and the factors of 5 are all the numbers that can evenly divide into 5. Here are the factors for 2 and 5:

Factors of 2: 1 and 2.

Factors of 5: 1 and 5.

The greatest factor on the two lists that they have in common is the GCF of 2 and 5. Therefore, the GCF of 2 and 5 is 1.

In summary, the answer to the question "What is the LCM and GCF of 2 and 5?" is 10 and 1.

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