What is the Least Common Multiple of 82089 and 82096?

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 82089 and 82096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82089 and 82096, than apply into the LCM equation.

GCF(82089,82096) = 7
LCM(82089,82096) = ( 82089 × 82096) / 7
LCM(82089,82096) = 6739178544 / 7
LCM(82089,82096) = 962739792

Least Common Multiple (LCM) of 82089 and 82096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82089 and 82096. First we will calculate the prime factors of 82089 and 82096.

Prime Factorization of 82089

Prime Factorization of 82096

Now multiplying the highest exponent prime factors to calculate the LCM of 82089 and 82096.

LCM(82089,82096) = 3² × 7¹ × 1303¹ × 2⁴ × 733¹
LCM(82089,82096) = 962739792