What is the Least Common Multiple of 99150 and 99166?

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 99166 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 99166, than apply into the LCM equation.

GCF(99150,99166) = 2
LCM(99150,99166) = ( 99150 × 99166) / 2
LCM(99150,99166) = 9832308900 / 2
LCM(99150,99166) = 4916154450

Least Common Multiple (LCM) of 99150 and 99166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99150 and 99166. First we will calculate the prime factors of 99150 and 99166.

Prime Factorization of 99150

Prime Factorization of 99166

Now multiplying the highest exponent prime factors to calculate the LCM of 99150 and 99166.

LCM(99150,99166) = 2¹ × 3¹ × 5² × 661¹ × 179¹ × 277¹
LCM(99150,99166) = 4916154450