What is the Least Common Multiple of 99591 and 99611?

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 99591 and 99611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99591 and 99611, than apply into the LCM equation.

GCF(99591,99611) = 1
LCM(99591,99611) = ( 99591 × 99611) / 1
LCM(99591,99611) = 9920359101 / 1
LCM(99591,99611) = 9920359101

Least Common Multiple (LCM) of 99591 and 99611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99591 and 99611. First we will calculate the prime factors of 99591 and 99611.

Prime Factorization of 99591

Prime Factorization of 99611

Now multiplying the highest exponent prime factors to calculate the LCM of 99591 and 99611.

LCM(99591,99611) = 3¹ × 89¹ × 373¹ × 99611¹
LCM(99591,99611) = 9920359101