What is the Least Common Multiple of 90045 and 90060?

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 90045 and 90060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90045 and 90060, than apply into the LCM equation.

GCF(90045,90060) = 15
LCM(90045,90060) = ( 90045 × 90060) / 15
LCM(90045,90060) = 8109452700 / 15
LCM(90045,90060) = 540630180

Least Common Multiple (LCM) of 90045 and 90060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90045 and 90060. First we will calculate the prime factors of 90045 and 90060.

Prime Factorization of 90045

Prime Factorization of 90060

Now multiplying the highest exponent prime factors to calculate the LCM of 90045 and 90060.

LCM(90045,90060) = 3³ × 5¹ × 23¹ × 29¹ × 2² × 19¹ × 79¹
LCM(90045,90060) = 540630180