# Chapter 6 - Rational Expressions and Equations - 6.3 Addition, Subtraction, and Least Common Denominators - 6.3 Exercise Set - Page 393: 48

$$8\left(x-1\right)$$

#### Work Step by Step

When the problem asks for the least common multiple, it is asking us for the smallest value that, when divided by either expression given, will result in a whole number. Finding the least common multiple using factors as well as trial and error, we find: $$4\left(x-1\right),\:8\left(x-1\right)\\ 8\left(x-1\right)$$

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