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Least Common Denominator
The least common denominator (LCD) of two or more fractions is the least common multiple (LCM) of their denominators. It represents the smallest positive number that every denominator divides into evenly, making it the ideal shared denominator for rewriting fractions before adding or subtracting them. For instance, the LCD of and is , because the LCM of and is . Any technique used to find an LCM — such as listing multiples or using prime factorizations — can be applied to find the LCD by working with the denominators of the given fractions.
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