What is the Least Common Multiple of 99150 and 99165?

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 99150 and 99165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99150 and 99165, than apply into the LCM equation.

GCF(99150,99165) = 15
LCM(99150,99165) = ( 99150 × 99165) / 15
LCM(99150,99165) = 9832209750 / 15
LCM(99150,99165) = 655480650

Least Common Multiple (LCM) of 99150 and 99165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99150 and 99165. First we will calculate the prime factors of 99150 and 99165.

Prime Factorization of 99150

Prime Factorization of 99165

Now multiplying the highest exponent prime factors to calculate the LCM of 99150 and 99165.

LCM(99150,99165) = 2¹ × 3¹ × 5² × 661¹ × 11¹ × 601¹
LCM(99150,99165) = 655480650