What is the Least Common Multiple of 9188 and 9198?

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 9188 and 9198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9188 and 9198, than apply into the LCM equation.

GCF(9188,9198) = 2
LCM(9188,9198) = ( 9188 × 9198) / 2
LCM(9188,9198) = 84511224 / 2
LCM(9188,9198) = 42255612

Least Common Multiple (LCM) of 9188 and 9198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9188 and 9198. First we will calculate the prime factors of 9188 and 9198.

Prime Factorization of 9188

Prime Factorization of 9198

Now multiplying the highest exponent prime factors to calculate the LCM of 9188 and 9198.

LCM(9188,9198) = 2² × 2297¹ × 3² × 7¹ × 73¹
LCM(9188,9198) = 42255612