A Least Common Multiple (LCM) calculator finds the smallest positive integer that is divisible by both input numbers.
About this calculator
A Least Common Multiple (LCM) calculator finds the smallest positive integer that is divisible by both input numbers. LCM is used in adding fractions with different denominators, scheduling recurring events, and solving problems in number theory.
LCM is calculated using the relationship: LCM(a, b) = |a × b| / GCF(a, b), where GCF is the Greatest Common Factor.
Common uses
- Find a common denominator for adding or subtracting fractions
- Schedule events that repeat at different intervals
- Solve gear ratio problems in engineering
- Determine when two periodic processes align
Frequently asked questions
What is the LCM of 4 and 6?
LCM(4, 6) = |4 × 6| / GCF(4, 6) = 24 / 2 = 12. The LCM is 12 because 12 is the smallest number divisible by both 4 (12÷4=3) and 6 (12÷6=2).