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College Algebra / Unit 2   Alg 111 short lesson, about 20 seconds

The Least Common Denominator

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The idea

The least common denominator of two rational expressions is the smallest multiple their denominators share, built from every factor at its highest power.

In practice

For denominators x and x + 1, the LCD is x(x + 1); for 4 and 6, it is 12, not 24.

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