What is the Least Common Multiple of 99301 and 99311?

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 99301 and 99311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99301 and 99311, than apply into the LCM equation.

GCF(99301,99311) = 1
LCM(99301,99311) = ( 99301 × 99311) / 1
LCM(99301,99311) = 9861681611 / 1
LCM(99301,99311) = 9861681611

Least Common Multiple (LCM) of 99301 and 99311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99301 and 99311. First we will calculate the prime factors of 99301 and 99311.

Prime Factorization of 99301

Prime Factorization of 99311

Now multiplying the highest exponent prime factors to calculate the LCM of 99301 and 99311.

LCM(99301,99311) = 199¹ × 499¹ × 47¹ × 2113¹
LCM(99301,99311) = 9861681611