What is the Least Common Multiple of 99138 and 99150?

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 99138 and 99150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99138 and 99150, than apply into the LCM equation.

GCF(99138,99150) = 6
LCM(99138,99150) = ( 99138 × 99150) / 6
LCM(99138,99150) = 9829532700 / 6
LCM(99138,99150) = 1638255450

Least Common Multiple (LCM) of 99138 and 99150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99138 and 99150. First we will calculate the prime factors of 99138 and 99150.

Prime Factorization of 99138

Prime Factorization of 99150

Now multiplying the highest exponent prime factors to calculate the LCM of 99138 and 99150.

LCM(99138,99150) = 2¹ × 3¹ × 13¹ × 31¹ × 41¹ × 5² × 661¹
LCM(99138,99150) = 1638255450