Least Common Denominator (LCD) Practice

Front

What is the Least Common Denominator (LCD)?

Back

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

Front

How do you find the LCD of two fractions?

Back

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

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What is the LCD of the fractions 1/2 and 1/3?

Back

The LCD is 6.

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What is the LCD of the fractions 1/x and 1/(x+1)?

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The LCD is x(x+1).

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What is the LCD of the fractions 1/(x-2) and 1/(x+3)?

Back

The LCD is (x-2)(x+3).

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What is the LCD of the fractions 1/(x^2) and 1/(x^3)?

Back

The LCD is x^3.

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How do you determine the LCD when one denominator is a factor of another?

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If one denominator is a factor of another, the larger denominator is the LCD.

Front

What is the LCD of the fractions 1/(x+1) and 1/(x^2+1)?

Back

The LCD is (x+1)(x^2+1).

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What is the importance of finding the LCD in addition of fractions?

Back

Finding the LCD allows you to combine fractions by providing a common denominator, making addition or subtraction possible.

Front

What is the LCD of the fractions 1/(x-1) and 1/(x^2-1)?

Back

The LCD is (x-1)(x+1).