What is the Least Common Multiple of 6627 and 6641?

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 6627 and 6641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6627 and 6641, than apply into the LCM equation.

GCF(6627,6641) = 1
LCM(6627,6641) = ( 6627 × 6641) / 1
LCM(6627,6641) = 44009907 / 1
LCM(6627,6641) = 44009907

Least Common Multiple (LCM) of 6627 and 6641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6627 and 6641. First we will calculate the prime factors of 6627 and 6641.

Prime Factorization of 6627

Prime Factorization of 6641

Now multiplying the highest exponent prime factors to calculate the LCM of 6627 and 6641.

LCM(6627,6641) = 3¹ × 47² × 29¹ × 229¹
LCM(6627,6641) = 44009907