What is the Least Common Multiple of 75093 and 75099?

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 75093 and 75099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75093 and 75099, than apply into the LCM equation.

GCF(75093,75099) = 3
LCM(75093,75099) = ( 75093 × 75099) / 3
LCM(75093,75099) = 5639409207 / 3
LCM(75093,75099) = 1879803069

Least Common Multiple (LCM) of 75093 and 75099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75093 and 75099. First we will calculate the prime factors of 75093 and 75099.

Prime Factorization of 75093

Prime Factorization of 75099

Now multiplying the highest exponent prime factors to calculate the LCM of 75093 and 75099.

LCM(75093,75099) = 3¹ × 25031¹ × 25033¹
LCM(75093,75099) = 1879803069