What is the Least Common Multiple of 99089 and 99107?

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 99089 and 99107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99089 and 99107, than apply into the LCM equation.

GCF(99089,99107) = 1
LCM(99089,99107) = ( 99089 × 99107) / 1
LCM(99089,99107) = 9820413523 / 1
LCM(99089,99107) = 9820413523

Least Common Multiple (LCM) of 99089 and 99107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99089 and 99107. First we will calculate the prime factors of 99089 and 99107.

Prime Factorization of 99089

Prime Factorization of 99107

Now multiplying the highest exponent prime factors to calculate the LCM of 99089 and 99107.

LCM(99089,99107) = 99089¹ × 23¹ × 31¹ × 139¹
LCM(99089,99107) = 9820413523