Common Monomial Factor Calculator





Formula

The formula to calculate the Common Monomial Factor (CMF) is:

\[ \text{CMF} = \text{GCF} \times \text{LCM} \]

Where:

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.

Example Calculation 1

Let's assume the following values:

Step 1: Multiply the greatest common factor by the least common multiple:

\[ \text{CMF} = 4 \times 6 = 24 \]

Therefore, the Common Monomial Factor is 24.

Example Calculation 2

Let's assume the following values:

Step 1: Multiply the greatest common factor by the least common multiple:

\[ \text{CMF} = 3 \times 9 = 27 \]

Therefore, the Common Monomial Factor is 27.