What is the Least Common Multiple of 38390 and 38395?

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 38390 and 38395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38390 and 38395, than apply into the LCM equation.

GCF(38390,38395) = 5
LCM(38390,38395) = ( 38390 × 38395) / 5
LCM(38390,38395) = 1473984050 / 5
LCM(38390,38395) = 294796810

Least Common Multiple (LCM) of 38390 and 38395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38390 and 38395. First we will calculate the prime factors of 38390 and 38395.

Prime Factorization of 38390

Prime Factorization of 38395

Now multiplying the highest exponent prime factors to calculate the LCM of 38390 and 38395.

LCM(38390,38395) = 2¹ × 5¹ × 11¹ × 349¹ × 7¹ × 1097¹
LCM(38390,38395) = 294796810