LCM and GCF Puzzle

Front

What is the LCM of two numbers?

Back

The LCM (Least Common Multiple) of two numbers is the smallest multiple that is evenly divisible by both numbers.

Front

What is the GCF of two numbers?

Back

The GCF (Greatest Common Factor) of two numbers is the largest number that divides both numbers without leaving a remainder.

Front

Calculate the LCM of 9 and 7.

Back

63

Front

Calculate the LCM of 7 and 4.

Back

28

Front

Calculate the GCF of 28 and 42.

Back

14

Front

Calculate the GCF of 21 and 12.

Back

3

Front

Calculate the LCM of 6 and 9.

Back

18

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.

Front

How can you find the LCM using prime factorization?

Back

To find the LCM using prime factorization, list the prime factors of each number, take the highest power of each prime factor, and multiply them together.

Front

How can you find the GCF using prime factorization?

Back

To find the GCF using prime factorization, list the prime factors of each number, take the lowest power of each common prime factor, and multiply them together.