What is the Least Common Multiple of 6027 and 6036?

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 6036 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 6036, than apply into the LCM equation.

GCF(6027,6036) = 3
LCM(6027,6036) = ( 6027 × 6036) / 3
LCM(6027,6036) = 36378972 / 3
LCM(6027,6036) = 12126324

Least Common Multiple (LCM) of 6027 and 6036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6027 and 6036. First we will calculate the prime factors of 6027 and 6036.

Prime Factorization of 6027

Prime Factorization of 6036

Now multiplying the highest exponent prime factors to calculate the LCM of 6027 and 6036.

LCM(6027,6036) = 3¹ × 7² × 41¹ × 2² × 503¹
LCM(6027,6036) = 12126324