What is the Least Common Multiple of 9075 and 11025?

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 9075 and 11025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9075 and 11025, than apply into the LCM equation.

GCF(9075,11025) = 75
LCM(9075,11025) = ( 9075 × 11025) / 75
LCM(9075,11025) = 100051875 / 75
LCM(9075,11025) = 1334025

Least Common Multiple (LCM) of 9075 and 11025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9075 and 11025. First we will calculate the prime factors of 9075 and 11025.

Prime Factorization of 9075

Prime Factorization of 11025

Now multiplying the highest exponent prime factors to calculate the LCM of 9075 and 11025.

LCM(9075,11025) = 3² × 5² × 11² × 7²
LCM(9075,11025) = 1334025