What is the Least Common Multiple of 98599 and 98611?

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 98599 and 98611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98599 and 98611, than apply into the LCM equation.

GCF(98599,98611) = 1
LCM(98599,98611) = ( 98599 × 98611) / 1
LCM(98599,98611) = 9722945989 / 1
LCM(98599,98611) = 9722945989

Least Common Multiple (LCM) of 98599 and 98611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98599 and 98611. First we will calculate the prime factors of 98599 and 98611.

Prime Factorization of 98599

Prime Factorization of 98611

Now multiplying the highest exponent prime factors to calculate the LCM of 98599 and 98611.

LCM(98599,98611) = 43¹ × 2293¹ × 31¹ × 3181¹
LCM(98599,98611) = 9722945989