Free Least Common Multiple (LCM) Calculator
Find the least common multiple (LCM) of two numbers. The LCM is the smallest positive number that is divisible by both numbers.
Lcm Val
36
Gcf6
Product216
How to Find the Least Common Multiple
Methods
Method 1: Using GCF
LCM(a, b) = (a × b) / GCF(a, b)
Method 2: Prime Factorization 1. Find the prime factorization of each number 2. Take the highest power of each prime that appears 3. Multiply them together
Method 3: Listing Multiples 1. List multiples of each number 2. Find the smallest number that appears in both lists
Example Calculation
Find the LCM of 12 and 18.
- 01GCF(12, 18) = 6
- 02LCM = (12 × 18) / 6 = 216 / 6 = 36
- 03Verification: 36 / 12 = 3 (whole number) and 36 / 18 = 2 (whole number)
Frequently Asked Questions
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