What is the Least Common Multiple of 50286 and 50303?

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 50286 and 50303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50286 and 50303, than apply into the LCM equation.

GCF(50286,50303) = 17
LCM(50286,50303) = ( 50286 × 50303) / 17
LCM(50286,50303) = 2529536658 / 17
LCM(50286,50303) = 148796274

Least Common Multiple (LCM) of 50286 and 50303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50286 and 50303. First we will calculate the prime factors of 50286 and 50303.

Prime Factorization of 50286

Prime Factorization of 50303

Now multiplying the highest exponent prime factors to calculate the LCM of 50286 and 50303.

LCM(50286,50303) = 2¹ × 3¹ × 17² × 29¹ × 11¹ × 269¹
LCM(50286,50303) = 148796274