What is the Least Common Multiple of 99189 and 99198?

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 99198 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 99198, than apply into the LCM equation.

GCF(99189,99198) = 9
LCM(99189,99198) = ( 99189 × 99198) / 9
LCM(99189,99198) = 9839350422 / 9
LCM(99189,99198) = 1093261158

Least Common Multiple (LCM) of 99189 and 99198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99189 and 99198. First we will calculate the prime factors of 99189 and 99198.

Prime Factorization of 99189

Prime Factorization of 99198

Now multiplying the highest exponent prime factors to calculate the LCM of 99189 and 99198.

LCM(99189,99198) = 3³ × 103¹ × 107¹ × 2¹ × 11¹ × 167¹
LCM(99189,99198) = 1093261158