# LCM Calculator

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Lets first understand, what is LCM and how we can calculate the LCM?

The least common multiple (LCM) of two integers a and b, usually denoted by lcm(a, b), is the smallest positive integer that is divisible by both a and b. Since division of integers by zero is undefined, this definition has meaning only if a and b are both different from zero.

A multiple of a number is the product of that number and an integer.

The lcm of more than two integers is also well-defined. LCM is the smallest positive integer that is divisible by each of them.

A multiple of a number is the product of that number and an integer.

When adding, subtracting, or comparing simple fractions, the least common multiple (LCM) of the denominators is used.

$$gcd(a,b,c)=\dfrac{|a.b.c|.lcm(a,b,c)}{lcm(a,b).lcm(a,c).lcm(b,c)}$$If we know GCD, then we can find the LCM, using the relation

$$lcm(a,b,c)=\dfrac{|a.b.c|.gcd(a,b,c)}{gcd(a,b).gcd(a,c).gcd(b,c)}$$For calculating LCM using above LCM calculator, you have to just write the values in the given input box and press the calculate button, you will get the LCM.