What is the Least Common Multiple of 40173 and 40187?

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 40173 and 40187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40173 and 40187, than apply into the LCM equation.

GCF(40173,40187) = 7
LCM(40173,40187) = ( 40173 × 40187) / 7
LCM(40173,40187) = 1614432351 / 7
LCM(40173,40187) = 230633193

Least Common Multiple (LCM) of 40173 and 40187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40173 and 40187. First we will calculate the prime factors of 40173 and 40187.

Prime Factorization of 40173

Prime Factorization of 40187

Now multiplying the highest exponent prime factors to calculate the LCM of 40173 and 40187.

LCM(40173,40187) = 3¹ × 7¹ × 1913¹ × 5741¹
LCM(40173,40187) = 230633193