What is the Least Common Multiple of 38175 and 38191?

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 38175 and 38191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38175 and 38191, than apply into the LCM equation.

GCF(38175,38191) = 1
LCM(38175,38191) = ( 38175 × 38191) / 1
LCM(38175,38191) = 1457941425 / 1
LCM(38175,38191) = 1457941425

Least Common Multiple (LCM) of 38175 and 38191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38175 and 38191. First we will calculate the prime factors of 38175 and 38191.

Prime Factorization of 38175

Prime Factorization of 38191

Now multiplying the highest exponent prime factors to calculate the LCM of 38175 and 38191.

LCM(38175,38191) = 3¹ × 5² × 509¹ × 181¹ × 211¹
LCM(38175,38191) = 1457941425