What is the Least Common Multiple of 9045 and 9060?

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 9045 and 9060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9045 and 9060, than apply into the LCM equation.

GCF(9045,9060) = 15
LCM(9045,9060) = ( 9045 × 9060) / 15
LCM(9045,9060) = 81947700 / 15
LCM(9045,9060) = 5463180

Least Common Multiple (LCM) of 9045 and 9060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9045 and 9060. First we will calculate the prime factors of 9045 and 9060.

Prime Factorization of 9045

Prime Factorization of 9060

Now multiplying the highest exponent prime factors to calculate the LCM of 9045 and 9060.

LCM(9045,9060) = 3³ × 5¹ × 67¹ × 2² × 151¹
LCM(9045,9060) = 5463180