What is the Least Common Multiple of 90024 and 90033?

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 90024 and 90033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90024 and 90033, than apply into the LCM equation.

GCF(90024,90033) = 3
LCM(90024,90033) = ( 90024 × 90033) / 3
LCM(90024,90033) = 8105130792 / 3
LCM(90024,90033) = 2701710264

Least Common Multiple (LCM) of 90024 and 90033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90024 and 90033. First we will calculate the prime factors of 90024 and 90033.

Prime Factorization of 90024

Prime Factorization of 90033

Now multiplying the highest exponent prime factors to calculate the LCM of 90024 and 90033.

LCM(90024,90033) = 2³ × 3¹ × 11² × 31¹ × 30011¹
LCM(90024,90033) = 2701710264