LCM Calculator - Least Common Multiple LCM Calculator

What is LCM?

The Least Common Multiple (LCM) of two or more numbers is the smallest positive integer that is divisible by each of the numbers. For example, the LCM of 4 and 6 is 12 because 12 is the smallest number divisible by both 4 and 6.

How to Find LCM

Examples

• LCM(4, 6): 4 = 2², 6 = 2 × 3 → LCM = 2² × 3 = 12
• LCM(3, 5): 3 and 5 are coprime → LCM = 3 × 5 = 15
• LCM(12, 18): 12 = 2² × 3, 18 = 2 × 3² → LCM = 2² × 3² = 36
• LCM(4, 6, 8): 4 = 2², 6 = 2 × 3, 8 = 2³ → LCM = 2³ × 3 = 24

Common Uses of LCM

• Fractions: Finding a common denominator when adding or subtracting fractions.
• Scheduling: Determining when recurring events will coincide (e.g., bus schedules).
• Music: Finding rhythmic patterns and time signatures where beats align.
• Engineering: Synchronizing gears, signals, or cyclic processes.

How This Calculator Works

1. Enter numbers: Type two or more numbers separated by commas or spaces.
2. Instant results: The LCM, HCF, product, and prime factorization update in real time.
3. Step-by-step: View the prime factorization breakdown for each number.