The Least Common Multiple (LCM) is the smallest positive integer divisible by two or more given numbers. Used for adding fractions with different denominators, scheduling problems, and finding repeating patterns.
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Pro Tip
For adding fractions: LCD (Least Common Denominator) = LCM of all denominators. 1/4 + 1/6 + 1/3: LCM(4,6,3) = 12 → 3/12 + 2/12 + 4/12 = 9/12 = 3/4.
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Did You Know?
The Chinese Remainder Theorem (3rd century CE) uses LCM to solve systems of modular equations. It is used today in cryptography, computer science, and was used historically to count soldiers without asking them to line up.
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