What is the Least Common Multiple of 88173 and 88191?

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 88173 and 88191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88173 and 88191, than apply into the LCM equation.

GCF(88173,88191) = 9
LCM(88173,88191) = ( 88173 × 88191) / 9
LCM(88173,88191) = 7776065043 / 9
LCM(88173,88191) = 864007227

Least Common Multiple (LCM) of 88173 and 88191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88173 and 88191. First we will calculate the prime factors of 88173 and 88191.

Prime Factorization of 88173

Prime Factorization of 88191

Now multiplying the highest exponent prime factors to calculate the LCM of 88173 and 88191.

LCM(88173,88191) = 3² × 97¹ × 101¹ × 41¹ × 239¹
LCM(88173,88191) = 864007227