What is the Least Common Multiple of 38230 and 38250?

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 38230 and 38250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38230 and 38250, than apply into the LCM equation.

GCF(38230,38250) = 10
LCM(38230,38250) = ( 38230 × 38250) / 10
LCM(38230,38250) = 1462297500 / 10
LCM(38230,38250) = 146229750

Least Common Multiple (LCM) of 38230 and 38250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38230 and 38250. First we will calculate the prime factors of 38230 and 38250.

Prime Factorization of 38230

Prime Factorization of 38250

Now multiplying the highest exponent prime factors to calculate the LCM of 38230 and 38250.

LCM(38230,38250) = 2¹ × 5³ × 3823¹ × 3² × 17¹
LCM(38230,38250) = 146229750