What is the Least Common Multiple of 38250 and 38257?

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 38250 and 38257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38250 and 38257, than apply into the LCM equation.

GCF(38250,38257) = 1
LCM(38250,38257) = ( 38250 × 38257) / 1
LCM(38250,38257) = 1463330250 / 1
LCM(38250,38257) = 1463330250

Least Common Multiple (LCM) of 38250 and 38257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38250 and 38257. First we will calculate the prime factors of 38250 and 38257.

Prime Factorization of 38250

Prime Factorization of 38257

Now multiplying the highest exponent prime factors to calculate the LCM of 38250 and 38257.

LCM(38250,38257) = 2¹ × 3² × 5³ × 17¹ × 67¹ × 571¹
LCM(38250,38257) = 1463330250