What is the Least Common Multiple of 50275 and 50282?

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 50275 and 50282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50275 and 50282, than apply into the LCM equation.

GCF(50275,50282) = 1
LCM(50275,50282) = ( 50275 × 50282) / 1
LCM(50275,50282) = 2527927550 / 1
LCM(50275,50282) = 2527927550

Least Common Multiple (LCM) of 50275 and 50282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50275 and 50282. First we will calculate the prime factors of 50275 and 50282.

Prime Factorization of 50275

Prime Factorization of 50282

Now multiplying the highest exponent prime factors to calculate the LCM of 50275 and 50282.

LCM(50275,50282) = 5² × 2011¹ × 2¹ × 31¹ × 811¹
LCM(50275,50282) = 2527927550