What is the Least Common Multiple of 99189 and 99199?

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 99189 and 99199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99189 and 99199, than apply into the LCM equation.

GCF(99189,99199) = 1
LCM(99189,99199) = ( 99189 × 99199) / 1
LCM(99189,99199) = 9839449611 / 1
LCM(99189,99199) = 9839449611

Least Common Multiple (LCM) of 99189 and 99199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99189 and 99199. First we will calculate the prime factors of 99189 and 99199.

Prime Factorization of 99189

Prime Factorization of 99199

Now multiplying the highest exponent prime factors to calculate the LCM of 99189 and 99199.

LCM(99189,99199) = 3² × 103¹ × 107¹ × 19¹ × 23¹ × 227¹
LCM(99189,99199) = 9839449611