What is the Least Common Multiple of 99615 and 99621?

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 99615 and 99621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99615 and 99621, than apply into the LCM equation.

GCF(99615,99621) = 3
LCM(99615,99621) = ( 99615 × 99621) / 3
LCM(99615,99621) = 9923745915 / 3
LCM(99615,99621) = 3307915305

Least Common Multiple (LCM) of 99615 and 99621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99615 and 99621. First we will calculate the prime factors of 99615 and 99621.

Prime Factorization of 99615

Prime Factorization of 99621

Now multiplying the highest exponent prime factors to calculate the LCM of 99615 and 99621.

LCM(99615,99621) = 3² × 5¹ × 29¹ × 229¹ × 11069¹
LCM(99615,99621) = 3307915305