What is the Least Common Multiple of 6603 and 6612?

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 6612 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 6612, than apply into the LCM equation.

GCF(6603,6612) = 3
LCM(6603,6612) = ( 6603 × 6612) / 3
LCM(6603,6612) = 43659036 / 3
LCM(6603,6612) = 14553012

Least Common Multiple (LCM) of 6603 and 6612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6603 and 6612. First we will calculate the prime factors of 6603 and 6612.

Prime Factorization of 6603

Prime Factorization of 6612

Now multiplying the highest exponent prime factors to calculate the LCM of 6603 and 6612.

LCM(6603,6612) = 3¹ × 31¹ × 71¹ × 2² × 19¹ × 29¹
LCM(6603,6612) = 14553012