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HCF & LCM Calculator
Calculate HCF and LCM of two or more numbers with steps.
⭐ Used by 11,230 people

The HCF and LCM Calculator finds the Highest Common Factor and Lowest Common Multiple of two or more numbers instantly.

What is HCF?

HCF (Highest Common Factor) or GCD (Greatest Common Divisor) is the largest number that divides all given numbers exactly.

HCF of 12 and 18:
Factors of 12: 1,2,3,4,6,12
Factors of 18: 1,2,3,6,9,18
Common factors: 1,2,3,6
HCF = 6 ✅

What is LCM?

LCM (Lowest Common Multiple) is the smallest number that is divisible by all given numbers.

LCM of 4 and 6:
Multiples of 4: 4,8,12,16,20
Multiples of 6: 6,12,18,24
Common: 12
LCM = 12 ✅

Real Life Uses

  • 📅 Finding when two events repeat together
  • 🎵 Music rhythm calculations
  • 🏗️ Construction tile/flooring calculations
  • 🎓 Simplifying fractions
📖 Complete Guide
Formulas, examples, tips & FAQs
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Frequently Asked Questions

What is the difference between HCF and LCM?

HCF (also called GCD) is the largest number that divides all your numbers exactly, while LCM is the smallest number that all of them divide into evenly.

How is LCM calculated?

One method lists multiples until a common one is found, but the calculator uses prime factorisation or the relationship between HCF and the product of the numbers for instant results.

Where are HCF and LCM used?

They are used to simplify fractions, schedule repeating events, solve ratio problems, and in many areas of mathematics and real-life timing problems.