,

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

The number is not a prime number because it only has one positive factor, which is itself.

Not prime

Since has no factors besides and .

is a prime number

The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.

The factor for is itself.

occurs time.

The factor for is itself.

occurs time.

The LCM of is the result of multiplying all factors the greatest number of times they occur in either term.

The Least Common Multiple of some numbers is the smallest number that the numbers are factors of.

Find the LCD (8x)/(2x-8) , (7x)/(2x+8)