What is the Least Common Multiple of 40089 and 40093?

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 40089 and 40093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40089 and 40093, than apply into the LCM equation.

GCF(40089,40093) = 1
LCM(40089,40093) = ( 40089 × 40093) / 1
LCM(40089,40093) = 1607288277 / 1
LCM(40089,40093) = 1607288277

Least Common Multiple (LCM) of 40089 and 40093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40089 and 40093. First we will calculate the prime factors of 40089 and 40093.

Prime Factorization of 40089

Prime Factorization of 40093

Now multiplying the highest exponent prime factors to calculate the LCM of 40089 and 40093.

LCM(40089,40093) = 3¹ × 7¹ × 23¹ × 83¹ × 40093¹
LCM(40089,40093) = 1607288277