What is the Least Common Multiple of 38171 and 38189?

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 38171 and 38189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38171 and 38189, than apply into the LCM equation.

GCF(38171,38189) = 1
LCM(38171,38189) = ( 38171 × 38189) / 1
LCM(38171,38189) = 1457712319 / 1
LCM(38171,38189) = 1457712319

Least Common Multiple (LCM) of 38171 and 38189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38171 and 38189. First we will calculate the prime factors of 38171 and 38189.

Prime Factorization of 38171

Prime Factorization of 38189

Now multiplying the highest exponent prime factors to calculate the LCM of 38171 and 38189.

LCM(38171,38189) = 7² × 19¹ × 41¹ × 38189¹
LCM(38171,38189) = 1457712319