What is the Least Common Multiple of 6027 and 6033?

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 6027 and 6033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6027 and 6033, than apply into the LCM equation.

GCF(6027,6033) = 3
LCM(6027,6033) = ( 6027 × 6033) / 3
LCM(6027,6033) = 36360891 / 3
LCM(6027,6033) = 12120297

Least Common Multiple (LCM) of 6027 and 6033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6027 and 6033. First we will calculate the prime factors of 6027 and 6033.

Prime Factorization of 6027

Prime Factorization of 6033

Now multiplying the highest exponent prime factors to calculate the LCM of 6027 and 6033.

LCM(6027,6033) = 3¹ × 7² × 41¹ × 2011¹
LCM(6027,6033) = 12120297