Finding the LCD for Rational Expressions

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In this section, we learn how to find the LCD or least common denominator for a group of rational expressions. In pre-algebra, we learned that the LCD for a group of fractions is the smallest number that is divisible by all denominators. To find the LCD for a group of rational expressions, we use a similar technique. We begin by factoring all denominators completely. We then list each different denominator factor. When a factor occurs in more than one factorization, we list the largest number of repeats among all factorizations.
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