What is the Least Common Multiple of 50257 and 50271?

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 50257 and 50271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50257 and 50271, than apply into the LCM equation.

GCF(50257,50271) = 1
LCM(50257,50271) = ( 50257 × 50271) / 1
LCM(50257,50271) = 2526469647 / 1
LCM(50257,50271) = 2526469647

Least Common Multiple (LCM) of 50257 and 50271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50257 and 50271. First we will calculate the prime factors of 50257 and 50271.

Prime Factorization of 50257

Prime Factorization of 50271

Now multiplying the highest exponent prime factors to calculate the LCM of 50257 and 50271.

LCM(50257,50271) = 29¹ × 1733¹ × 3¹ × 13¹ × 1289¹
LCM(50257,50271) = 2526469647