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Lesson 10.1 Least Common Multiple and Least Common Denominator A Multiple is the product of a given number and a whole number. There are an infinite number of multiples for any given number. Example: The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 etc. The multiples of 5 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 etc. Common multiples are multiples that two given numbers share The common multiples of 4 and 5 are: 20, and 40 The Least Common Multiple (LCM) is the smallest of the common multiples The LCM of 4 and 5 is 20 When finding common denominators for two fractions use the LCM The common denominator of 3 and 2 is 20 4 5 Therefore the equivalent fractions are: 3 = 15 4 20 and 2=8 5 20