What is the Least Common Multiple of 50303 and 50311?

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 50303 and 50311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50303 and 50311, than apply into the LCM equation.

GCF(50303,50311) = 1
LCM(50303,50311) = ( 50303 × 50311) / 1
LCM(50303,50311) = 2530794233 / 1
LCM(50303,50311) = 2530794233

Least Common Multiple (LCM) of 50303 and 50311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50303 and 50311. First we will calculate the prime factors of 50303 and 50311.

Prime Factorization of 50303

Prime Factorization of 50311

Now multiplying the highest exponent prime factors to calculate the LCM of 50303 and 50311.

LCM(50303,50311) = 11¹ × 17¹ × 269¹ × 50311¹
LCM(50303,50311) = 2530794233