LCM Calculator

The Least Common Multiple (LCM) of two or more integers is the smallest positive integer that is divisible by each of the integers. For example, LCM(4, 6) = 12 because 12 is the smallest number that both 4 and 6 can divide evenly.

There are several methods to calculate LCM: Prime Factorization - Break down each number into prime factors, then multiply the highest powers of all prime factors. Listing Multiples - List the multiples of each number until you find the smallest common one. GCD Method - Use the formula LCM(a,b) = (a × b) / GCD(a,b).

LCM (Least Common Multiple) is the smallest number that all given numbers divide into, while GCD (Greatest Common Divisor) is the largest number that divides all given numbers. They are related by the formula: LCM(a,b) × GCD(a,b) = a × b.

Yes, you can calculate LCM for multiple numbers. For more than 2 numbers, you can calculate LCM step by step: first find LCM of two numbers, then find LCM of the result with the third number, and so on.

If two numbers are prime and different, their LCM is simply their product since they have no common factors other than 1. For example, LCM(7, 11) = 77.

When one number is a multiple of another, the LCM is the larger number. For example, LCM(6, 18) = 18 because 18 is a multiple of 6.

Yes, this calculator accepts numbers up to 999,999 to ensure accurate calculations and reasonable processing time. You can input between 2 to 15 numbers at once.

LCM is essential in many mathematical applications, including adding and subtracting fractions with different denominators, solving problems involving periodic events, and various algebraic operations. It's a fundamental concept in number theory and has practical applications in scheduling, engineering, and computer science.