What is the Least Common Multiple of 40089 and 40107?

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 40107 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 40107, than apply into the LCM equation.

GCF(40089,40107) = 3
LCM(40089,40107) = ( 40089 × 40107) / 3
LCM(40089,40107) = 1607849523 / 3
LCM(40089,40107) = 535949841

Least Common Multiple (LCM) of 40089 and 40107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40089 and 40107. First we will calculate the prime factors of 40089 and 40107.

Prime Factorization of 40089

Prime Factorization of 40107

Now multiplying the highest exponent prime factors to calculate the LCM of 40089 and 40107.

LCM(40089,40107) = 3¹ × 7¹ × 23¹ × 83¹ × 29¹ × 461¹
LCM(40089,40107) = 535949841