What is the Least Common Multiple of 99591 and 99599?

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 99599 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 99599, than apply into the LCM equation.

GCF(99591,99599) = 1
LCM(99591,99599) = ( 99591 × 99599) / 1
LCM(99591,99599) = 9919164009 / 1
LCM(99591,99599) = 9919164009

Least Common Multiple (LCM) of 99591 and 99599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99591 and 99599. First we will calculate the prime factors of 99591 and 99599.

Prime Factorization of 99591

Prime Factorization of 99599

Now multiplying the highest exponent prime factors to calculate the LCM of 99591 and 99599.

LCM(99591,99599) = 3¹ × 89¹ × 373¹ × 137¹ × 727¹
LCM(99591,99599) = 9919164009