GCF and LCM of Monomials

Front

What is the definition of GCF (Greatest Common Factor)?

Back

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

Front

What is the definition of LCM (Least Common Multiple)?

Back

The LCM of two or more numbers is the smallest number that is a multiple of all of them.

Front

How do you find the GCF of two monomials?

Back

To find the GCF of two monomials, identify the common factors in their coefficients and variables, and multiply the lowest powers of each common variable.

Front

How do you find the LCM of two monomials?

Back

To find the LCM of two monomials, identify all the factors in their coefficients and variables, and multiply the highest powers of each variable.

Front

What is the GCF of 12x^2 and 18x^3?

Back

6x^2

Front

What is the LCM of 4y and 10y^2?

Back

20y^2

Front

What is the GCF of 25a^3b and 15a^2b^2?

Back

5a^2b

Front

What is the LCM of 5m^2n and 10mn^3?

Back

10m^2n^3

Front

What is the GCF of 8p^4q^2 and 12p^2q?

Back

4p^2q

Front

What is the LCM of 6x^3 and 9x^2?

Back

18x^3