What is the Least Common Multiple of 6603 and 6621?

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 6603 and 6621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6603 and 6621, than apply into the LCM equation.

GCF(6603,6621) = 3
LCM(6603,6621) = ( 6603 × 6621) / 3
LCM(6603,6621) = 43718463 / 3
LCM(6603,6621) = 14572821

Least Common Multiple (LCM) of 6603 and 6621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6603 and 6621. First we will calculate the prime factors of 6603 and 6621.

Prime Factorization of 6603

Prime Factorization of 6621

Now multiplying the highest exponent prime factors to calculate the LCM of 6603 and 6621.

LCM(6603,6621) = 3¹ × 31¹ × 71¹ × 2207¹
LCM(6603,6621) = 14572821