What is the Least Common Multiple of 43175 and 43191?

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 43175 and 43191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43175 and 43191, than apply into the LCM equation.

GCF(43175,43191) = 1
LCM(43175,43191) = ( 43175 × 43191) / 1
LCM(43175,43191) = 1864771425 / 1
LCM(43175,43191) = 1864771425

Least Common Multiple (LCM) of 43175 and 43191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43175 and 43191. First we will calculate the prime factors of 43175 and 43191.

Prime Factorization of 43175

Prime Factorization of 43191

Now multiplying the highest exponent prime factors to calculate the LCM of 43175 and 43191.

LCM(43175,43191) = 5² × 11¹ × 157¹ × 3² × 4799¹
LCM(43175,43191) = 1864771425