GCF and LCM

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

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

What is the LCM of 9 and 12?

Back

36

Front

What is the LCM of 12 and 10?

Back

60

Front

What is the LCM of 12 and 30?

Back

60

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 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 the GCF of 12 and 18?

Back

6

Front

What is the relationship between GCF and LCM?

Back

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

Front

What is an example of finding the LCM using prime factorization?

Back

To find the LCM of 12 (2^2 * 3) and 30 (2 * 3 * 5), take the highest power of each prime: LCM = 2^2 * 3^1 * 5^1 = 60.