- Least common multiple
- 72
How it works
Repeating schedules also need matching starts
Events every 6 and 8 days align every 24 days if they start together. If their starting dates differ, the LCM alone does not identify the next meeting date; the offsets must also be considered.
When to use the least common multiple
The least common multiple is useful when you need the smallest positive quantity that is a multiple of every entered whole number. It differs from a greatest common factor, which looks for a shared divisor. For fraction problems, an LCM can help identify a common denominator. Check that inputs represent whole-number quantities before applying the result to a repeating schedule or grouping problem.
Whole numbers: formula and assumptions
gcd(a,b) = gcd(b, a mod b); lcm(a,b) = |a × b| / gcd(a,b).
The Euclidean algorithm finds the greatest common divisor. Factor lists contain positive factors.
Worked example
Using the Whole numbers example:
- Whole numbers
- 12, 18, 24
gcd(a,b) = gcd(b, a mod b); lcm(a,b) = |a × b| / gcd(a,b).
Example result
Least common multiple: 72
These are illustrative inputs. Change the values to explore a different scenario.
Formula references
References explain the underlying methods; they do not imply endorsement or individual professional review of Finflo.
Common questions
How does the least common multiple differ from the greatest common factor?
The LCM is a shared multiple of the numbers. The GCF is a number that divides all of them.
What is the LCM of 6 and 8?
It is 24: the smallest positive integer divisible by both 6 and 8.
Prepared by Finflo. See our methodology and editorial policy.