What is the Least Common Multiple of 99380 and 99395?

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 99380 and 99395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99380 and 99395, than apply into the LCM equation.

GCF(99380,99395) = 5
LCM(99380,99395) = ( 99380 × 99395) / 5
LCM(99380,99395) = 9877875100 / 5
LCM(99380,99395) = 1975575020

Least Common Multiple (LCM) of 99380 and 99395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99380 and 99395. First we will calculate the prime factors of 99380 and 99395.

Prime Factorization of 99380

Prime Factorization of 99395

Now multiplying the highest exponent prime factors to calculate the LCM of 99380 and 99395.

LCM(99380,99395) = 2² × 5¹ × 4969¹ × 103¹ × 193¹
LCM(99380,99395) = 1975575020