What is the Least Common Multiple of 27045 and 27060?

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 27045 and 27060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27045 and 27060, than apply into the LCM equation.

GCF(27045,27060) = 15
LCM(27045,27060) = ( 27045 × 27060) / 15
LCM(27045,27060) = 731837700 / 15
LCM(27045,27060) = 48789180

Least Common Multiple (LCM) of 27045 and 27060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27045 and 27060. First we will calculate the prime factors of 27045 and 27060.

Prime Factorization of 27045

Prime Factorization of 27060

Now multiplying the highest exponent prime factors to calculate the LCM of 27045 and 27060.

LCM(27045,27060) = 3² × 5¹ × 601¹ × 2² × 11¹ × 41¹
LCM(27045,27060) = 48789180