📐 LCM & GCD Calculator

Free online LCM and GCD calculator. Find the least common multiple and greatest common divisor of two or three numbers. Shows step-by-step calculation. Pure frontend.

Number 1

Number 2

Number 3 (optional)

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How to Use

Enter Numbers
Input 2 or 3 positive integers. The tool supports numbers up to 99,999,999.
Choose Calculation
Click LCM, GCD, or Both to compute. Results appear instantly with step-by-step details.
Review Results
View the LCM, GCD, and product of your numbers. The step-by-step breakdown shows how each value is calculated.

FAQ

What is LCM?

LCM (Least Common Multiple) is the smallest positive integer that is divisible by all given numbers. Example: LCM(12, 18) = 36.

What is GCD?

GCD (Greatest Common Divisor) is the largest positive integer that divides all given numbers without remainder. Example: GCD(12, 18) = 6.

How is LCM related to GCD?

For two numbers a and b: LCM(a,b) × GCD(a,b) = a × b. This relationship helps compute one from the other.

Can I calculate LCM/GCD for more than 2 numbers?

Yes! Enter up to 3 numbers. The tool calculates the LCM/GCD progressively across all numbers.

Where is LCM/GCD used in real life?

LCM is used in fractions (common denominator), scheduling (recurring events), and gear ratios. GCD is used in simplifying fractions and cryptography.