LCM Calculator
Find the least common multiple of two or more integers and see each step of the GCD method.
LCM calculator
- Step 1Find the GCD
GCD(12, 18) = 6 - Step 2Apply the LCM formula
LCM = |12 × 18| ÷ 6 - Step 3Calculate the result
LCM(12, 18) = 36
- Numbers
- 12, 18
- Least Common Multiple
- 36
- GCD Used
- 6
Common LCM Problems
Adding Fractions
Use the LCM of the denominators as the least common denominator.
1/4 + 1/6 → LCM(4, 6) = 12Repeating Events
Events repeating every 4 and 6 days meet again after 12 days.
LCM(4, 6) = 12 daysScheduling
Synchronize several schedules that repeat at different intervals.
LCM(6, 8, 12) = 24Formula
Two numbers
LCM(a, b) = |a × b| ÷ GCD(a, b)Multiple values
LCM(a, b, c) = LCM(LCM(a, b), c)Examples
LCM of 12 and 18
LCM(12, 18) = 36LCM of three integers
LCM(8, 12, 20) = 120Repeating intervals
LCM(4, 6) = 12LCM with zero
LCM(0, 12) = 0Related Calculators
Frequently Asked Questions
What is the least common multiple?
The least common multiple is the smallest positive integer that is divisible by every entered value.
How do you calculate LCM?
For two non-zero integers, multiply their absolute values and divide by their greatest common divisor.
What is the difference between LCM and GCD?
LCM is the smallest positive multiple shared by the values. GCD is the largest positive integer that divides all of them.
Can LCM be calculated for multiple numbers?
Yes. Calculate the LCM of the first pair, then combine that result with each remaining integer in order.
How is LCM used in fractions?
The LCM of the denominators provides the least common denominator used to add or compare fractions.