The least common multiple (LCM) is the smallest positive integer divisible by every input—common denominators for fraction addition and “when do cycles align” problems. Same integer entry as the GCF calculator, with prime rows and the list’s GCF shown for checks.
LCM and fractions
To add ( rac{1}{4}+ rac{1}{6}), LCM(4,6)=12 → ( rac{3}{12}+ rac{2}{12}= rac{5}{12}). 24 is a common multiple too, but not the least.
How to use
- Enter integers like on the GCF page (samples, list, append).
- Read LCM, factor chips, and GCF of the same list.
- For two positives, check a×b = GCF×LCM.
Prime method
4=2², 6=2×3 → take higher power of each prime → 2²×3=12. For 24, 36, 60 → LCM 360 (live output).
Examples
4 & 6 → 12; coprime 8 & 15 → 120.
Notes
LCM can grow quickly; shrink inputs if needed. Same rules as GCF: ≥2 non-zero integers.
Frequently asked questions
What is LCM used for?
The smallest positive multiple shared by all inputs—common denominators for fraction addition and “when cycles align” problems.
How do I use LCM to add fractions?
LCM(4,6)=12 → convert to twelfths, then add. 24 works as a common denominator too, but 12 is the least.
Prime method for LCM?
Take each prime to the higher power across numbers, then multiply—e.g. 4=2², 6=2×3 → 12.
Why show GCF too?
Checking both on the same list helps verify work. For two positives, a×b = GCF×LCM.
Same entry as the GCF page?
Yes—samples, list field, preview pills, append/clear. Open both pages with the same list to compare.
Can LCM get huge?
Yes—coprime or large primes make LCM explode past safe integers. Homework-sized lists are safest.
Can I save my inputs?
Yes. Copy link below the form keeps your current inputs so you can share the scenario or save it for later.