What is the Least Common Multiple of 50390 and 50395?

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 50390 and 50395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50390 and 50395, than apply into the LCM equation.

GCF(50390,50395) = 5
LCM(50390,50395) = ( 50390 × 50395) / 5
LCM(50390,50395) = 2539404050 / 5
LCM(50390,50395) = 507880810

Least Common Multiple (LCM) of 50390 and 50395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50390 and 50395. First we will calculate the prime factors of 50390 and 50395.

Prime Factorization of 50390

Prime Factorization of 50395

Now multiplying the highest exponent prime factors to calculate the LCM of 50390 and 50395.

LCM(50390,50395) = 2¹ × 5¹ × 5039¹ × 10079¹
LCM(50390,50395) = 507880810