The lowest common denominator or least common denominator (abbreviated LCD) is the least common multiple of the denominators of a set of fractions. It simplifies adding, subtracting, and comparing fractions. The practice questions on least common denominator, least common multiple examples and related resources on this page will help you learn methods of calculating the LCM.
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Find the Least Common Multiple of the denominators (which is called the Least Common Denominator). Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator. Then add (or subtract) the fractions, as we wish
In mathematics, the lowest common denominator or least common denominator (abbreviated LCD) is the least common multiple of the denominators of a set of fractions. It simplifies adding, subtracting, and comparing fractions.
For example, for LCM (12,30) we find: Prime factorization of 12 = 2 * 2 * 3 = 22 * 31 * 5. Prime factorization of 30 = 2 * 3 * 5 = 21 * 31 * 5. Using the set of prime numbers from each set with the highest exponent value we take 22 * 31 * 51 = 60.
