GCD and LCM Calculator

Find the greatest common divisor and least common multiple for a list of positive integers. Choose the operation you need and get clean, integer results instantly.

Separate numbers with commas, spaces, or new lines.

This tool is for general information purposes only.

Understanding GCD and LCM

The greatest common divisor (GCD) is the largest integer that divides both numbers without a remainder. It tells you the biggest shared factor.

The least common multiple (LCM) is the smallest positive integer that both numbers divide evenly. It helps align cycles, schedules, or denominators.

GCD and LCM are connected: for nonzero integers a and b, GCD(a, b) × LCM(a, b) = |a × b|.

This calculator uses the Euclidean algorithm for GCD and derives LCM from the GCD, keeping results fast and accurate even for large inputs.

GCD & LCM calculator FAQs