What is the Least Common Multiple of 12173 and 12191?

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 12173 and 12191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12173 and 12191, than apply into the LCM equation.

GCF(12173,12191) = 1
LCM(12173,12191) = ( 12173 × 12191) / 1
LCM(12173,12191) = 148401043 / 1
LCM(12173,12191) = 148401043

Least Common Multiple (LCM) of 12173 and 12191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12173 and 12191. First we will calculate the prime factors of 12173 and 12191.

Prime Factorization of 12173

Prime Factorization of 12191

Now multiplying the highest exponent prime factors to calculate the LCM of 12173 and 12191.

LCM(12173,12191) = 7¹ × 37¹ × 47¹ × 73¹ × 167¹
LCM(12173,12191) = 148401043