What is the Least Common Multiple of 6009 and 6027?

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 6009 and 6027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6009 and 6027, than apply into the LCM equation.

GCF(6009,6027) = 3
LCM(6009,6027) = ( 6009 × 6027) / 3
LCM(6009,6027) = 36216243 / 3
LCM(6009,6027) = 12072081

Least Common Multiple (LCM) of 6009 and 6027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6009 and 6027. First we will calculate the prime factors of 6009 and 6027.

Prime Factorization of 6009

Prime Factorization of 6027

Now multiplying the highest exponent prime factors to calculate the LCM of 6009 and 6027.

LCM(6009,6027) = 3¹ × 2003¹ × 7² × 41¹
LCM(6009,6027) = 12072081