What is the Least Common Multiple of 73089 and 73104?

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 73089 and 73104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73089 and 73104, than apply into the LCM equation.

GCF(73089,73104) = 3
LCM(73089,73104) = ( 73089 × 73104) / 3
LCM(73089,73104) = 5343098256 / 3
LCM(73089,73104) = 1781032752

Least Common Multiple (LCM) of 73089 and 73104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73089 and 73104. First we will calculate the prime factors of 73089 and 73104.

Prime Factorization of 73089

Prime Factorization of 73104

Now multiplying the highest exponent prime factors to calculate the LCM of 73089 and 73104.

LCM(73089,73104) = 3³ × 2707¹ × 2⁴ × 1523¹
LCM(73089,73104) = 1781032752