What is the Least Common Multiple of 38250 and 38255?

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 38255 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 38255, than apply into the LCM equation.

GCF(38250,38255) = 5
LCM(38250,38255) = ( 38250 × 38255) / 5
LCM(38250,38255) = 1463253750 / 5
LCM(38250,38255) = 292650750

Least Common Multiple (LCM) of 38250 and 38255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38250 and 38255. First we will calculate the prime factors of 38250 and 38255.

Prime Factorization of 38250

Prime Factorization of 38255

Now multiplying the highest exponent prime factors to calculate the LCM of 38250 and 38255.

LCM(38250,38255) = 2¹ × 3² × 5³ × 17¹ × 7¹ × 1093¹
LCM(38250,38255) = 292650750