What is the Least Common Multiple of 81173 and 81191?

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 81173 and 81191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81173 and 81191, than apply into the LCM equation.

GCF(81173,81191) = 1
LCM(81173,81191) = ( 81173 × 81191) / 1
LCM(81173,81191) = 6590517043 / 1
LCM(81173,81191) = 6590517043

Least Common Multiple (LCM) of 81173 and 81191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81173 and 81191. First we will calculate the prime factors of 81173 and 81191.

Prime Factorization of 81173

Prime Factorization of 81191

Now multiplying the highest exponent prime factors to calculate the LCM of 81173 and 81191.

LCM(81173,81191) = 81173¹ × 11³ × 61¹
LCM(81173,81191) = 6590517043