Free Online LCM Calculator - Least Common Multiple
Free online LCM calculator to find the least common multiple of multiple numbers instantly. No signup required, 100% free. Uses prime factorization with step-by-step explanation. Works offline, completely private.
Free Online LCM Calculator - Least Common Multiple Tool Introduction
A comprehensive Free Online LCM Calculator that finds the smallest positive number that is divisible by all given numbers. Essential for adding fractions, solving scheduling problems, and understanding number relationships. No signup required, 100% free to use.
Perfect for students learning fractions and number theory, teachers creating math problems, programmers working with cycles and periods, and anyone dealing with synchronization or scheduling tasks.
Our calculator uses efficient algorithms to compute the LCM of two or more numbers. It shows the calculation method, prime factorization, and the relationship between LCM and GCD, making it an excellent educational tool.
All calculations are performed locally in your browser for complete privacy. No data is collected or stored. Works offline after loading. Use this tool to add fractions with different denominators, solve timing problems, or understand divisibility patterns.
Free Online LCM Calculator - Least Common Multiple User Guide
How to Use
- Enter Numbers: Input two or more positive integers (comma or space separated)
- Click Calculate: Get the LCM instantly
- View Method: See the calculation process
- Check Multiples: View common multiples
Understanding LCM
The Least Common Multiple (LCM) is the smallest positive integer that is divisible by all given numbers without remainder.
Example
Find LCM of 12 and 18:
- Multiples of 12: 12, 24, 36, 48, 60, 72...
- Multiples of 18: 18, 36, 54, 72, 90...
- Common multiples: 36, 72, 108...
- LCM = 36 (the smallest)
Using Prime Factorization
LCM(12, 18):
- 12 = 2² × 3
- 18 = 2 × 3²
- LCM = 2² × 3² = 4 × 9 = 36
LCM and GCD Relationship
For two numbers a and b:
LCM(a, b) × GCD(a, b) = a × b
Key Features
- Calculate LCM of 2 or more numbers
- Show calculation method
- Display prime factorization
- Show LCM-GCD relationship
- List common multiples
- Fast computation for large numbers
Frequently Asked Questions
Related Tools
Free Online GCD Calculator
Free online GCD calculator to find the greatest common divisor. No signup required - 100% free, private, and works offline. Calculate GCD using Euclidean algorithm with step-by-step explanation.
Free Online Arithmetic Series Calculator
Free online arithmetic series calculator to find the sum of arithmetic sequences. No signup required - 100% free, private, and works offline. Get step-by-step solutions for arithmetic progressions.
Free Online Arithmetic Sequence Generator
Free online arithmetic sequence generator with custom parameters. No signup required - 100% free, private, and works offline. Create any arithmetic progression by specifying first term, common difference, and number of terms.
Free Online Permutation Generator - List All Arrangements
Free online permutation generator to create all possible arrangements of a list instantly. No signup required, 100% free. Shows detailed count and export options. Works offline, completely private.
Free Online Combination Generator - List All Selections
Free online combination generator to create all possible selections of items from a list instantly. No signup required, 100% free. Shows binomial coefficient and all subsets. Works offline, completely private.
Free Online TI-84 Calculator - Graphing Calculator Simulator
Free online TI-84 Plus CE graphing calculator simulator. No download, no signup required, 100% free. Plot graphs, solve equations, use statistical functions. Works offline, completely private.