LCM and GCF

Front

What is the Least Common Multiple (LCM)?

Back

The LCM of two or more numbers is the smallest multiple that is exactly divisible by each of the numbers.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF of two or more numbers is the largest number that divides each of the numbers without leaving a remainder.

Front

How do you find the LCM of two numbers?

Back

To find the LCM, list the multiples of each number and identify the smallest multiple that appears in both lists.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that appears in both lists.

Front

What is a multiple? Give an example.

Back

A multiple of a number is the product of that number and an integer. For example, multiples of 3 include 3, 6, 9, 12, etc.

Front

What is a factor? Give an example.

Back

A factor of a number is an integer that can be multiplied by another integer to get that number. For example, factors of 12 include 1, 2, 3, 4, 6, and 12.

Front

What is the LCM of 4 and 5?

Back

The LCM of 4 and 5 is 20.

Front

What is the GCF of 12 and 16?

Back

The GCF of 12 and 16 is 4.

Front

If two numbers are coprime, what is their GCF?

Back

If two numbers are coprime, their GCF is 1.

Front

What is the relationship between LCM and GCF?

Back

The product of the LCM and GCF of two numbers is equal to the product of the numbers themselves.