What is the Least Common Multiple of 99195 and 99212?

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 99195 and 99212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99195 and 99212, than apply into the LCM equation.

GCF(99195,99212) = 17
LCM(99195,99212) = ( 99195 × 99212) / 17
LCM(99195,99212) = 9841334340 / 17
LCM(99195,99212) = 578902020

Least Common Multiple (LCM) of 99195 and 99212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99195 and 99212. First we will calculate the prime factors of 99195 and 99212.

Prime Factorization of 99195

Prime Factorization of 99212

Now multiplying the highest exponent prime factors to calculate the LCM of 99195 and 99212.

LCM(99195,99212) = 3¹ × 5¹ × 17¹ × 389¹ × 2² × 1459¹
LCM(99195,99212) = 578902020