What is the Least Common Multiple of 99027 and 99045?

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 99027 and 99045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99027 and 99045, than apply into the LCM equation.

GCF(99027,99045) = 9
LCM(99027,99045) = ( 99027 × 99045) / 9
LCM(99027,99045) = 9808129215 / 9
LCM(99027,99045) = 1089792135

Least Common Multiple (LCM) of 99027 and 99045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99027 and 99045. First we will calculate the prime factors of 99027 and 99045.

Prime Factorization of 99027

Prime Factorization of 99045

Now multiplying the highest exponent prime factors to calculate the LCM of 99027 and 99045.

LCM(99027,99045) = 3² × 11003¹ × 5¹ × 31¹ × 71¹
LCM(99027,99045) = 1089792135