What is the Least Common Multiple of 99676 and 99691?

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 99676 and 99691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99676 and 99691, than apply into the LCM equation.

GCF(99676,99691) = 1
LCM(99676,99691) = ( 99676 × 99691) / 1
LCM(99676,99691) = 9936800116 / 1
LCM(99676,99691) = 9936800116

Least Common Multiple (LCM) of 99676 and 99691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99676 and 99691. First we will calculate the prime factors of 99676 and 99691.

Prime Factorization of 99676

Prime Factorization of 99691

Now multiplying the highest exponent prime factors to calculate the LCM of 99676 and 99691.

LCM(99676,99691) = 2² × 24919¹ × 131¹ × 761¹
LCM(99676,99691) = 9936800116