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LCM Calculator

Find the least common multiple of two or more whole numbers instantly. See prime factorizations, pairwise steps, and the GCD-based calculation method.

LCM

Enter whole numbers

Separate values with commas or spaces. Use positive whole numbers only.
Entered numbers

LCM result

LEAST COMMON MULTIPLE
180
The smallest positive number divisible by 12, 18, and 30.
Greatest common divisor6
Numbers used3
Prime factor method2² × 3² × 5
Calculation statusComplete
Step-by-step calculation

How LCM calculation works

List multiples

Find the first positive multiple shared by all numbers.

Prime factors

Use every prime factor at its highest required exponent.

GCD method

For two values: LCM(a,b) = |a × b| ÷ GCD(a,b).

Example: 12 = 2² × 3, 18 = 2 × 3², and 30 = 2 × 3 × 5. Taking the highest powers gives 2² × 3² × 5 = 180.

Frequently asked questions

What is the least common multiple?

The LCM is the smallest positive whole number that is exactly divisible by every number in the set.

Can I calculate the LCM of more than two numbers?

Yes. Enter several positive integers separated by commas or spaces, and the calculator combines them one pair at a time.

Is the LCM always larger than the entered numbers?

Not always. When one number is already a multiple of all the others, that number is the LCM.

Math Calculation Disclaimer

Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.

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