What is the Least Common Multiple of 99189 and 99200?

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 99200 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 99200, than apply into the LCM equation.

GCF(99189,99200) = 1
LCM(99189,99200) = ( 99189 × 99200) / 1
LCM(99189,99200) = 9839548800 / 1
LCM(99189,99200) = 9839548800

Least Common Multiple (LCM) of 99189 and 99200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99189 and 99200. First we will calculate the prime factors of 99189 and 99200.

Prime Factorization of 99189

Prime Factorization of 99200

Now multiplying the highest exponent prime factors to calculate the LCM of 99189 and 99200.

LCM(99189,99200) = 3² × 103¹ × 107¹ × 2⁷ × 5² × 31¹
LCM(99189,99200) = 9839548800