What is the Least Common Multiple of 40089 and 40104?

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 40104 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 40104, than apply into the LCM equation.

GCF(40089,40104) = 3
LCM(40089,40104) = ( 40089 × 40104) / 3
LCM(40089,40104) = 1607729256 / 3
LCM(40089,40104) = 535909752

Least Common Multiple (LCM) of 40089 and 40104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40089 and 40104. First we will calculate the prime factors of 40089 and 40104.

Prime Factorization of 40089

Prime Factorization of 40104

Now multiplying the highest exponent prime factors to calculate the LCM of 40089 and 40104.

LCM(40089,40104) = 3² × 7¹ × 23¹ × 83¹ × 2³ × 557¹
LCM(40089,40104) = 535909752