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LCD is probably a typo for LCM. The least common divisor of any number is 0 since 0 is the smallest natural number and divides all numbers.

The LCM of two rational algebraic expressions is often used to add or subtract the two expressions. The method used is to identify all common factors in the denominator of the expressions, and multiply the numerators by the uncommon factors (exactly like you would for non-algebraic fractions).

example:

(2/(a+b)xyz) + (4/(a+b)cdz)

the common factors are (a+b), and z. You must multiply the left expression by cd, and the right expression by xy to get

(2cd+4xy) / (a+b)cdxyz

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15y ago

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Q: Finding the LCD of rational algebraic expressions?
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