www.VirtualNerd.com

What's the Least Common Denominator?

Definition: Least Common Denominator (LCD)

Summary

  1. The LCD of these two fractions is the smallest common multiple of the denominators: x2-9 and x+3
  2. We can factor x2-9 into (x+3)(x-3)
  3. The LCD of these fractions is just the denominator of the first fraction, x2-9

Notes

    1. Least common denominator is also called LCD
    1. For example, if we have two fractions, 1/3 and 2/4, then the LCD would be the smallest common multiple of 3 and 4, which is 12
    2. Least common denominator is also called LCD
    1. What is the LCD of these two fractions?
    2. Least common denominator is also called LCD
    1. The denominators are x2-9 and X+3
    2. Least common denominator is also called LCD
    1. We can rewrite the first denominator by factoring it into (x+3)(x-3)
    1. What is the smallest multiple of (x+3) that is also a multiple of (x+3)(x-3)?
    2. Least common denominator is also called LCD
    1. The smallest common multiple of (x+3) and (x+3)(x-3) is just (x+3)(x-3)!
    2. Least common denominator is also called LCD