What is the LCM and GCF of 38 and 67?

The question "What is the LCM and GCF of 38 and 67?" can be split into two questions: "What is the LCM of 38 and 67?" and "What is the GCF of 38 and 67?"

In the question "What is the LCM and GCF of 38 and 67?", 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 38 and 67 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 38 and 67:

Multiples of 38: 38, 76, 114, 152, 190, 228, etc.

Multiples of 67: 67, 134, 201, 268, 335, 402, etc.

The least multiple on the two lists that they have in common is the LCM of 38 and 67. Therefore, the LCM of 38 and 67 is 2546.

To find the GCF, we first list the factors of 38 and 67 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 38 are all the numbers that can evenly divide into 38, and the factors of 67 are all the numbers that can evenly divide into 67. Here are the factors for 38 and 67:

Factors of 38: 1, 2, 19, and 38.

Factors of 67: 1 and 67.

The greatest factor on the two lists that they have in common is the GCF of 38 and 67. Therefore, the GCF of 38 and 67 is 1.

In summary, the answer to the question "What is the LCM and GCF of 38 and 67?" is 2546 and 1.

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