mathematics Verified Precision Tool
LCM Calculator (Least Common Multiple)
Find the least common multiple (LCM) of two or more numbers.
Calculation Solution
LCM = 300
GCD of numbers: 50
Mathematical Formula
LCM(a, b) = (|a * b|) / GCD(a, b)
Overview & Explanation
The Least Common Multiple (LCM) of two numbers is the smallest positive integer that is divisible by both numbers without remainder.
How It Works
- Find the greatest common divisor (GCD) of the two numbers.
- Multiply the two numbers and divide by GCD.
Practical Applications
- Finding common denominators for fraction addition.
- Scheduling recurring events.
Worked Example: LCM of 12 and 18
Find LCM.
1
GCD of 12 and 18
GCD(12, 18)
= 6
2
Calculate LCM
(12 * 18) / 6
= 36
Frequently Asked Questions
What is LCM used for?
LCM is used to find common denominators when adding or subtracting fractions with different denominators.
Related Calculators
mathematics
GCD Calculator (Greatest Common Divisor)
Calculate the greatest common divisor (GCD) or highest common factor (HCF) of numbers.
Use Calculator
mathematics
Prime Factorization Calculator
Decompose any integer into its unique prime factor product tree.
Use Calculator
mathematics
Fraction Calculator
Add, subtract, multiply, and divide proper, improper, and mixed fractions.
Use Calculator