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LCM Calculator

Need to find the LCM of a set of numbers fast? Our free LCM Calculator instantly calculates the Least Common Multiple of two or more numbers, with clear results perfect for homework, teaching, or quick math problem-solving.

Calculate the Least Common Multiple (LCM) of two or more numbers instantly. Enter numbers separated by commas.

Example: 12, 18, 24

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How the LCM Calculator Works

1

Enter Numbers

Input two or more numbers separated by commas.

2

Calculate LCM

The calculator determines the smallest number divisible by all entered numbers.

3

Analyze Result

Review the Least Common Multiple and related calculations.

4

View Answer

See the calculated LCM instantly.

Least Common Multiple Formula

LCM(a, b) = |a × b| ÷ GCD(a, b)

The Least Common Multiple (LCM) is the smallest positive number that is divisible by all given numbers. For two numbers, the LCM can be calculated using their Greatest Common Divisor (GCD).

Example Calculation

Input: 12, 18

Output: LCM = 36

Common Uses

  • • Fractions
  • • Mathematics
  • • Education
  • • Algebra
  • • Competitive Exams
  • • Number Theory
  • • Engineering Calculations
  • • Problem Solving

Questions about this calculator

The Least Common Multiple is the smallest positive integer that is evenly divisible by all given numbers.

LCM can be calculated using prime factorization or by dividing the product of two numbers by their GCD.

The LCM of 12 and 18 is 36.

LCM is commonly used in fractions, algebra, scheduling problems, and mathematical calculations.

Yes. You can calculate the LCM of two or more numbers simultaneously.

For any two positive integers a and b, the product of their LCM and HCF is always equal to the product of the two numbers themselves (LCM × HCF = a × b).

Find the LCM of two or more numbers

Enter at least two positive numbers separated by commas. The least common multiple is the smallest positive value divisible by every entered number, making it useful for common denominators, repeating schedules, and cycle problems.

How this calculator finds the LCM

For two values a and b, LCM(a,b) = |a × b| / GCD(a,b). For more than two values, the calculator applies that relationship repeatedly to the running result. The greatest common divisor is found with the Euclidean algorithm.

Worked example

For 12 and 18, the greatest common divisor is 6. Therefore LCM = (12 × 18) ÷ 6 = 36. For 12, 18, and 30, combining the next number gives an LCM of 180.

Input guidance

Use comma-separated positive integers for standard LCM questions. Although the interface parses positive numeric values, LCM is normally defined here for whole numbers; decimal inputs can produce results that are not meaningful in the usual number-theory sense. Very large products may also exceed JavaScript's exact integer range.

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Written & maintained by Aditya Singh

Aditya Singh is a software engineer and the founder of DevCalc, based in Uttar Pradesh, India. He builds and maintains every calculator on this site using documented formulas, worked examples, and clearly stated limitations, with careful attention to accuracy. Read more about the author →