What is the Least Common Multiple of 90075 and 90081?

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 90075 and 90081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90075 and 90081, than apply into the LCM equation.

GCF(90075,90081) = 3
LCM(90075,90081) = ( 90075 × 90081) / 3
LCM(90075,90081) = 8114046075 / 3
LCM(90075,90081) = 2704682025

Least Common Multiple (LCM) of 90075 and 90081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90075 and 90081. First we will calculate the prime factors of 90075 and 90081.

Prime Factorization of 90075

Prime Factorization of 90081

Now multiplying the highest exponent prime factors to calculate the LCM of 90075 and 90081.

LCM(90075,90081) = 3² × 5² × 1201¹ × 10009¹
LCM(90075,90081) = 2704682025