🔢 LCM Calculator
Find the least common multiple of numbers
Enter two or more positive integers separated by commas
How LCM Calculation Works
Formula
LCM(a, b) = |a × b| / GCF(a, b)
- 1Enter two or more numbers.
- 2The calculator finds the prime factorization of each number.
- 3Take the highest power of each prime factor that appears.
- 4Multiply these together to get the LCM.
- 5Alternatively, use the formula: LCM = (a × b) / GCF(a, b).
About LCM Calculator
Calculate the Least Common Multiple (LCM) of two or more numbers. Shows step-by-step solution using prime factorization and listing multiples methods. Essential for math and fractions.
Frequently Asked Questions
What is LCM used for?
LCM is used to find common denominators when adding fractions, schedule recurring events, synchronize cycles, and solve problems involving repeating patterns (e.g., when will two buses depart at the same time again?).
How do I find the LCM of more than two numbers?
Find the LCM of the first two numbers, then find the LCM of that result with the third number, and so on. For example, LCM(4, 6, 10): LCM(4,6) = 12, then LCM(12, 10) = 60.
Is LCM always larger than the numbers?
LCM is always greater than or equal to the largest number. It equals the largest number when the largest divides evenly by all others. For example, LCM(3, 6) = 6.