What is the Least Common Multiple of 6312 and 6332?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 6312 and 6332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6312 and 6332, than apply into the LCM equation.

GCF(6312,6332) = 4
LCM(6312,6332) = ( 6312 × 6332) / 4
LCM(6312,6332) = 39967584 / 4
LCM(6312,6332) = 9991896

Least Common Multiple (LCM) of 6312 and 6332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6312 and 6332. First we will calculate the prime factors of 6312 and 6332.

Prime Factorization of 6312

Prime Factorization of 6332

Now multiplying the highest exponent prime factors to calculate the LCM of 6312 and 6332.

LCM(6312,6332) = 2³ × 3¹ × 263¹ × 1583¹
LCM(6312,6332) = 9991896