LCD - Rational Expressions

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What is the definition of the Least Common Denominator (LCD)?

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The Least Common Denominator (LCD) is the smallest multiple that is common to the denominators of two or more fractions.

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How do you find the LCD of two fractions?

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To find the LCD, identify the prime factors of each denominator, then take the highest power of each prime factor present in any of the denominators.

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The LCD is 12.

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CCSS.HSA.APR.D.7

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The LCD is 9.

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What is the formula for finding the LCD of polynomials?

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The LCD of polynomials is found by factoring each polynomial and taking the product of the highest powers of all factors.

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CCSS.HSA.APR.D.7

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CCSS.HSA.APR.D.7

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What is the significance of the LCD in adding fractions?

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The LCD allows you to rewrite fractions with different denominators as equivalent fractions with a common denominator, making addition possible.

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CCSS.5.NF.A.1

CCSS.5.NF.A.2

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CCSS.HSA.APR.D.7

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CCSS.HSA.APR.D.7