What is the Least Common Multiple of 79089 and 79096?

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 79089 and 79096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79089 and 79096, than apply into the LCM equation.

GCF(79089,79096) = 1
LCM(79089,79096) = ( 79089 × 79096) / 1
LCM(79089,79096) = 6255623544 / 1
LCM(79089,79096) = 6255623544

Least Common Multiple (LCM) of 79089 and 79096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79089 and 79096. First we will calculate the prime factors of 79089 and 79096.

Prime Factorization of 79089

Prime Factorization of 79096

Now multiplying the highest exponent prime factors to calculate the LCM of 79089 and 79096.

LCM(79089,79096) = 3¹ × 41¹ × 643¹ × 2³ × 9887¹
LCM(79089,79096) = 6255623544