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The LCD of two fractions is the same as the LCM of their denominators.
The LCD, or Lowest Common Denominator, is the smallest multiple of each of the denominators of a set of fractions. So, assuming that 2, 4 and 5 are denominators of fractions (1/2, 1/4 and 1/5, for example), the LCD would be 20, because 20 is the lowest number that 2, 4 and 5 multiply into. So, your new fractions would be 10/20, 5/20 and 4/20. The purpose of finding the LCD is to allow for multiplying fractions together, or simply comparing them easily.
When multiplying fractions, it is not necessary to find the LCD first.
LCD is the Lowest Common Denominator which is the lowest number into which the denominators of all the fractions will each divide exactly. Each of the fractions can then be converted to an equivalent fraction with the new denominator which then allows the fractions to be added and/or subtracted.
Possible reasons: To add or subtract fractions, To compare fractions with different denominators.