Enter the greatest common factor and least common multiple into the calculator to determine the common monomial factor. This calculator can also evaluate any of the variables given the others are known.

Common Monomial Factor Formula

The following formula is used to calculate the common monomial factor.



  • CMF is the common monomial factor GCF is the greatest common factor LCM is the least common multiple

To calculate the common monomial factor, multiply the greatest common factor by the least common multiple. The result is the common monomial factor.

What is a Common Monomial Factor?

A Common Monomial Factor is a term that is a factor of each term in a polynomial. It is a monomial, which means it is a single term consisting of a product of numbers and variables. Factoring out the common monomial factor is a method used in simplifying polynomials or in solving polynomial equations. This involves identifying the highest power of a variable or the greatest number that divides evenly into all the coefficients of the terms in the polynomial.

How to Calculate Common Monomial Factor?

The following steps outline how to calculate the Common Monomial Factor (CMF) using the formula CMF = GCF * LCM.

  1. First, determine the greatest common factor (GCF).
  2. Next, determine the least common multiple (LCM).
  3. Next, multiply the GCF by the LCM to calculate the Common Monomial Factor (CMF).
  4. Finally, calculate the CMF.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem:

Use the following variables as an example problem to test your knowledge:

Greatest common factor (GCF) = 6

Least common multiple (LCM) = 18