What is the Least Common Multiple of 99174 and 99189?

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 99174 and 99189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99174 and 99189, than apply into the LCM equation.

GCF(99174,99189) = 3
LCM(99174,99189) = ( 99174 × 99189) / 3
LCM(99174,99189) = 9836969886 / 3
LCM(99174,99189) = 3278989962

Least Common Multiple (LCM) of 99174 and 99189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99174 and 99189. First we will calculate the prime factors of 99174 and 99189.

Prime Factorization of 99174

Prime Factorization of 99189

Now multiplying the highest exponent prime factors to calculate the LCM of 99174 and 99189.

LCM(99174,99189) = 2¹ × 3² × 16529¹ × 103¹ × 107¹
LCM(99174,99189) = 3278989962