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LCM & GCD (HCF) Calculator

Find Least Common Multiple (LCM) and Greatest Common Divisor (GCD/HCF) for numbers.

Parsed Integers: 12, 18, 24
Least Common Multiple (LCM)
72
For numbers: 12, 18, 24
LCM Value
72
GCD / HCF Value
6
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What This Calculator Does

Find Least Common Multiple (LCM) and Greatest Common Divisor (GCD/HCF) for numbers.

How to Use This Calculator?

  1. Enter positive integers separated by commas (e.g., 12, 18, 24).
  2. Switch between LCM and GCD tabs to instantly toggle outputs.
  3. Review the calculated LCM and HCF values alongside parsed inputs.

Formula & Calculation Logic

LCM(a, b) = |a * b| / GCD(a, b) | GCD via Euclidean Algorithm

Worked Example & Walkthrough

12, 18, 24 => LCM = 72 | GCD = 6

In-Depth Comprehensive Guide

LCM & GCD Calculator Overview

The Least Common Multiple (LCM) and Greatest Common Divisor (GCD, also known as Highest Common Factor or HCF) are essential number theory concepts used in fraction reduction, scheduling cycles, and modular arithmetic.

Key Features

  • Single Input, Switchable Output: Input your number set once and switch seamlessly between LCM and GCD results.
  • Multi-Number Support: Handles 2, 3, 4, or more integers effortlessly.
  • Euclidean Algorithm Precision: Uses optimal logarithmic algorithms for instant results even on large inputs.

Frequently Asked Questions (FAQ)

For two numbers A and B, LCM(A, B) × GCD(A, B) = A × B.

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