What is the Least Common Multiple of 91089 and 91107?

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 91107 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 91107, than apply into the LCM equation.

GCF(91089,91107) = 9
LCM(91089,91107) = ( 91089 × 91107) / 9
LCM(91089,91107) = 8298845523 / 9
LCM(91089,91107) = 922093947

Least Common Multiple (LCM) of 91089 and 91107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91089 and 91107. First we will calculate the prime factors of 91089 and 91107.

Prime Factorization of 91089

Prime Factorization of 91107

Now multiplying the highest exponent prime factors to calculate the LCM of 91089 and 91107.

LCM(91089,91107) = 3² × 29¹ × 349¹ × 53¹ × 191¹
LCM(91089,91107) = 922093947