What is the Least Common Multiple of 12173 and 12187?

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 12187 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 12187, than apply into the LCM equation.

GCF(12173,12187) = 7
LCM(12173,12187) = ( 12173 × 12187) / 7
LCM(12173,12187) = 148352351 / 7
LCM(12173,12187) = 21193193

Least Common Multiple (LCM) of 12173 and 12187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12173 and 12187. First we will calculate the prime factors of 12173 and 12187.

Prime Factorization of 12173

Prime Factorization of 12187

Now multiplying the highest exponent prime factors to calculate the LCM of 12173 and 12187.

LCM(12173,12187) = 7¹ × 37¹ × 47¹ × 1741¹
LCM(12173,12187) = 21193193