What is the Least Common Multiple of 6054 and 6060?

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 6060 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 6060, than apply into the LCM equation.

GCF(6054,6060) = 6
LCM(6054,6060) = ( 6054 × 6060) / 6
LCM(6054,6060) = 36687240 / 6
LCM(6054,6060) = 6114540

Least Common Multiple (LCM) of 6054 and 6060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6054 and 6060. First we will calculate the prime factors of 6054 and 6060.

Prime Factorization of 6054

Prime Factorization of 6060

Now multiplying the highest exponent prime factors to calculate the LCM of 6054 and 6060.

LCM(6054,6060) = 2² × 3¹ × 1009¹ × 5¹ × 101¹
LCM(6054,6060) = 6114540