What is the Least Common Multiple of 6054 and 6072?

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 6054 and 6072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6054 and 6072, than apply into the LCM equation.

GCF(6054,6072) = 6
LCM(6054,6072) = ( 6054 × 6072) / 6
LCM(6054,6072) = 36759888 / 6
LCM(6054,6072) = 6126648

Least Common Multiple (LCM) of 6054 and 6072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6054 and 6072. First we will calculate the prime factors of 6054 and 6072.

Prime Factorization of 6054

Prime Factorization of 6072

Now multiplying the highest exponent prime factors to calculate the LCM of 6054 and 6072.

LCM(6054,6072) = 2³ × 3¹ × 1009¹ × 11¹ × 23¹
LCM(6054,6072) = 6126648