Professional tool for Least Common Multiple & Highest Common Factor calculations
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The Least Common Multiple (LCM) of two or more integers is the smallest positive integer that is divisible by each of the numbers without a remainder.
Example: LCM of 4 and 6 is 12
Methods: Prime Factorization, Division Method, Formula using GCD
Applications: Adding fractions, finding common events, synchronizing patterns
The Highest Common Factor (HCF), also known as Greatest Common Divisor (GCD), is the largest positive integer that divides each of the integers without a remainder.
Example: HCF of 8 and 12 is 4
Methods: Prime Factorization, Euclidean Algorithm, Division Method
Applications: Simplifying fractions, dividing items, cryptography
| Method | LCM | HCF | Efficiency | Best For |
|---|---|---|---|---|
| Prime Factorization | ✓ | ✓ | Medium | Small numbers, educational purposes |
| Division Method | ✓ | ✓ | Medium | Medium numbers, manual calculation |
| Euclidean Algorithm | Indirect | ✓ | High | Large numbers, programming |
| Formula: LCM(a,b) = (a×b)/HCF(a,b) | ✓ | Required | High | Two numbers, when HCF is known |
LCM is also known as LCD (Least Common Denominator). HCF is also known as GCD (Greatest Common Divisor).