What is the Least Common Multiple of 25089 and 25107?

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 25089 and 25107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25089 and 25107, than apply into the LCM equation.

GCF(25089,25107) = 3
LCM(25089,25107) = ( 25089 × 25107) / 3
LCM(25089,25107) = 629909523 / 3
LCM(25089,25107) = 209969841

Least Common Multiple (LCM) of 25089 and 25107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25089 and 25107. First we will calculate the prime factors of 25089 and 25107.

Prime Factorization of 25089

Prime Factorization of 25107

Now multiplying the highest exponent prime factors to calculate the LCM of 25089 and 25107.

LCM(25089,25107) = 3¹ × 8363¹ × 8369¹
LCM(25089,25107) = 209969841