89p3 , 512p8

To find the LCD of a set of numbers (89p3,512p8), find the LCM of the denominators.

LCM(9p3,12p8)

For each instance of a variable included in the terms, compare the power of the variable in term one with the power of the variable in term two. Return the variable with the larger exponent.

First Term: 9p3

Second Term: 12p8

For variable p, p8 has a greater power than p3, so keep p8.

p8

Find the values of the numerical part of each term. Select the largest one, which in this case is 12. Multiply them together to get the current total. In this case, the current total is 108.

Current Total = 108

Multiply the numeric part of the denominators together.

Current Total = 12+12=24

Multiply the numeric part of the denominators together.

Current Total = 24+12=36

Check each value in the numerical part of each term against the current total. Since the current total is evenly divisible, return it. That is the least common denominator of the numerical part of the fraction.

36

Multiply all saved numbers and variables and their powers together:

36p8

36p8

Find the LCD 8/(9p^3) , 5/(12p^8)