What is the Least Common Multiple of 9069 and 9075?

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 9069 and 9075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9069 and 9075, than apply into the LCM equation.

GCF(9069,9075) = 3
LCM(9069,9075) = ( 9069 × 9075) / 3
LCM(9069,9075) = 82301175 / 3
LCM(9069,9075) = 27433725

Least Common Multiple (LCM) of 9069 and 9075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9069 and 9075. First we will calculate the prime factors of 9069 and 9075.

Prime Factorization of 9069

Prime Factorization of 9075

Now multiplying the highest exponent prime factors to calculate the LCM of 9069 and 9075.

LCM(9069,9075) = 3¹ × 3023¹ × 5² × 11²
LCM(9069,9075) = 27433725