What is the Least Common Multiple of 73083 and 73099?

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 73083 and 73099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73083 and 73099, than apply into the LCM equation.

GCF(73083,73099) = 1
LCM(73083,73099) = ( 73083 × 73099) / 1
LCM(73083,73099) = 5342294217 / 1
LCM(73083,73099) = 5342294217

Least Common Multiple (LCM) of 73083 and 73099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73083 and 73099. First we will calculate the prime factors of 73083 and 73099.

Prime Factorization of 73083

Prime Factorization of 73099

Now multiplying the highest exponent prime factors to calculate the LCM of 73083 and 73099.

LCM(73083,73099) = 3¹ × 17¹ × 1433¹ × 13¹ × 5623¹
LCM(73083,73099) = 5342294217