Least Common Multiple Calculator

Least Common Multiple Calculator

Calculate the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of multiple positive integers simultaneously.

What is the Greatest Common Divisor (GCD)?
The Greatest Common Divisor, also known as the Greatest Common Factor (GCF), refers to the largest integer that divides two or more integers without a remainder. For example, the common divisors of 12 and 18 are 1, 2, 3, and 6, and the largest among them is 6; therefore, the GCD of 12 and 18 is 6.

What is the Least Common Multiple (LCM)?
The Least Common Multiple is the smallest positive integer that is a multiple of two or more integers. For example, the multiples of 4 and 6 are:
 Multiples of 4: 4, 8, 12, 16, 20, ...
 Multiples of 6: 6, 12, 18, 24, ...
Among these, the common multiples are 12, 24, ..., and the smallest common multiple is 12.

How to Use the Least Common Multiple Calculator

Enter numbers:
Input the numbers you wish to calculate in the "Enter Positive Integers" text box.
You can enter multiple numbers separated by spaces, commas, or line breaks.
Examples: 12 18 or 15,25,35 or 8\n12\n20  \n(\n represents a line break)

Perform Calculation:
Click the "Calculate" button or press the Enter key on your keyboard.
The calculation results will be displayed in the LCM and GCF output area below.

Use Examples:
Click the "Example" button to automatically populate the example numbers.
The system will randomly select an example and fill it into the input box.

Reset Operation:
Click the "Reset" button to clear all inputs and results.
The input box will automatically regain focus for easy entry of new data.

This calculator not only helps you quickly solve mathematical problems but also aids in understanding the concepts of Least Common Multiple and Greatest Common Factor, making it a valuable tool for learning and teaching.