What is the Least Common Multiple of 91089 and 91106?

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 91089 and 91106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91089 and 91106, than apply into the LCM equation.

GCF(91089,91106) = 1
LCM(91089,91106) = ( 91089 × 91106) / 1
LCM(91089,91106) = 8298754434 / 1
LCM(91089,91106) = 8298754434

Least Common Multiple (LCM) of 91089 and 91106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91089 and 91106. First we will calculate the prime factors of 91089 and 91106.

Prime Factorization of 91089

Prime Factorization of 91106

Now multiplying the highest exponent prime factors to calculate the LCM of 91089 and 91106.

LCM(91089,91106) = 3² × 29¹ × 349¹ × 2¹ × 45553¹
LCM(91089,91106) = 8298754434