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Mathematical Calculation • Prime Factorization • Real-Time Results
LCM & HCF CalculatorCalculate Least Common Multiple & Highest Common Factor • Multiple Numbers • Prime Factorization
LCM Calculation
HCF/GCD Calculation
Prime Factorization
Multiple Numbers
Quick Example Calculations:
Real-time calculation
Enter at least 2 positive numbers separated by commas. Example: 12, 18, 24
LCM & HCF Quick Guide
LCM (Least Common Multiple)
Smallest number divisible by all given numbers
HCF (Highest Common Factor)
Largest number dividing all given numbers
Calculation Methods:
Prime Factorization Method
Euclidean Algorithm (for HCF)
Division Method
Listing Multiples/Factors
Key Properties:
LCM of prime numbers = product of those numbers
HCF of co-prime numbers = 1
LCM ≥ each given number ≥ HCF
LCM × HCF = Product of numbers (for two numbers)
Real-World Applications
LCM: Adding fractions with different denominators
LCM: Finding when repeating events coincide
HCF: Simplifying fractions to lowest terms
HCF: Distributing items into equal groups
Both: Cryptography and computer algorithms
Both: Tiling and packaging optimization
Example Scenarios:
Bus A arrives every 15 minutes, Bus B every 20 minutes - when do they arrive together? (LCM = 60 min)
Distribute 12 apples and 18 oranges equally among children (HCF = 6 children)