How do I use the LCM Calculator?
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LCM Calculator
Find the least common multiple (LCM) of two integers. Enter your values, review the formula, and use the worked result as a quick check for everyday planning.
LCM Calculator
Find the least common multiple (LCM) of two integers.
Results
LCM
36
Formula: LCM(a, b) = |a * b| / GCD(a, b)
LCM Calculator: Least Common Multiple
Find the least common multiple of two integers — the smallest positive number that is a multiple of both. Used for finding common denominators, scheduling problems, and synchronizing repeating events.
Formula
LCM(a, b) = |a × b| ÷ GCD(a, b). The calculator first finds the GCD using the Euclidean algorithm, then divides the product of the two numbers by their GCD.
Worked example
LCM of 12 and 18: GCD = 6. LCM = (12 × 18) ÷ 6 = 216 ÷ 6 = 36. Check: 36 is divisible by both 12 (3×) and 18 (2×), and no smaller positive number is.
Practical guidance
Finding common denominators
To add 1/12 + 1/18, find a common denominator: LCM(12, 18) = 36. Rewrite as 3/36 + 2/36 = 5/36. The LCM gives the least common denominator, which keeps numbers small.
Scheduling and event planning
If event A happens every 12 days and event B every 18 days, they coincide every LCM(12, 18) = 36 days. Use this for planning meetings, maintenance schedules, or any situation with periodic events.
Frequently asked questions
What formula does this calculator use?
LCM(a, b) = |a * b| / GCD(a, b)
Can I use decimal values?
Yes. Decimal inputs are supported for most calculators. Integer-based tools use rounded integer values where appropriate.
Is this calculator free?
Yes. CalcuNimble calculators are free and optimized for fast everyday use.