What is the Least Common Multiple of 19089 and 19096?

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 19089 and 19096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19089 and 19096, than apply into the LCM equation.

GCF(19089,19096) = 7
LCM(19089,19096) = ( 19089 × 19096) / 7
LCM(19089,19096) = 364523544 / 7
LCM(19089,19096) = 52074792

Least Common Multiple (LCM) of 19089 and 19096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19089 and 19096. First we will calculate the prime factors of 19089 and 19096.

Prime Factorization of 19089

Prime Factorization of 19096

Now multiplying the highest exponent prime factors to calculate the LCM of 19089 and 19096.

LCM(19089,19096) = 3³ × 7¹ × 101¹ × 2³ × 11¹ × 31¹
LCM(19089,19096) = 52074792