What is the Least Common Multiple of 99189 and 99194?

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 99194 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 99194, than apply into the LCM equation.

GCF(99189,99194) = 1
LCM(99189,99194) = ( 99189 × 99194) / 1
LCM(99189,99194) = 9838953666 / 1
LCM(99189,99194) = 9838953666

Least Common Multiple (LCM) of 99189 and 99194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99189 and 99194. First we will calculate the prime factors of 99189 and 99194.

Prime Factorization of 99189

Prime Factorization of 99194

Now multiplying the highest exponent prime factors to calculate the LCM of 99189 and 99194.

LCM(99189,99194) = 3² × 103¹ × 107¹ × 2¹ × 49597¹
LCM(99189,99194) = 9838953666