What is the Least Common Multiple of 71089 and 71108?

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 71089 and 71108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71089 and 71108, than apply into the LCM equation.

GCF(71089,71108) = 1
LCM(71089,71108) = ( 71089 × 71108) / 1
LCM(71089,71108) = 5054996612 / 1
LCM(71089,71108) = 5054996612

Least Common Multiple (LCM) of 71089 and 71108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71089 and 71108. First we will calculate the prime factors of 71089 and 71108.

Prime Factorization of 71089

Prime Factorization of 71108

Now multiplying the highest exponent prime factors to calculate the LCM of 71089 and 71108.

LCM(71089,71108) = 71089¹ × 2² × 29¹ × 613¹
LCM(71089,71108) = 5054996612