What is LCM (Least Common Multiple)? Definition, Meaning & Example
The smallest number that is a multiple of two or more given numbers.
TL;DR: The smallest number that is a multiple of two or more given numbers.
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LCM (Least Common Multiple): The smallest number that is a multiple of two or more given numbers.
Explanation
LCM is the least common multiple that two or more numbers can divide. To find LCM, list multiples of each number until a common multiple appears. For example, multiples of 4 are 4, 8, 12, 16, 20 and multiples of 6 are 6, 12, 18, so LCM is 12. LCM is useful for adding and subtracting fractions with different denominators; you find the LCM of denominators to get the common denominator. For example, to add 1/4 + 1/6, the LCM of 4 and 6 is 12, so you rewrite as 3/12 + 2/12 = 5/12. Prime factorization method is efficient for finding LCM of large numbers.
Example
The LCM of 6 and 8 is 24 because 24 is the smallest number that both 6 and 8 divide into evenly.
Frequently Asked Questions
What is the relationship between HCF and LCM?
For any two numbers a and b: HCF(a,b) x LCM(a,b) = a x b. This relationship helps verify calculations.
When do you need LCM in real life?
LCM is used when adding fractions, finding common time periods like when events occur together, and scheduling problems.
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