The LCM is the smallest number both values divide into evenly; the GCD is the largest number that divides both. The LCM of 4 and 6 is 12, and their GCD is 2.
The LCM is the smallest number both values divide into evenly; the GCD is the largest number that divides both. The LCM of 4 and 6 is 12, and their GCD is 2. Our lcm and gcd calculator is built on the same core gcd calculator least common multiple calculator greatest common divisor calculator and is trusted by students, professionals and everyday users who need a fast, accurate result. Because every calculation runs locally in your browser, there is no waiting, no sign-up and no limit on how often you use it.
Euclidean Algorithm for GCD
The Euclidean algorithm computes the Greatest Common Divisor (GCD/GCF) by repeatedly taking remainders until the remainder is zero.
Finding LCM from GCD: LCM(a,b) = (a × b) ÷ GCD(a,b)
The Least Common Multiple is the smallest positive integer divisible by both numbers without remainder.
Everyday Applications in Math & Physics
LCM is essential for finding common denominators when adding fractions. GCD simplifies fractions and solves geometric tiling problems.
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