What is the Least Common Multiple of 50278 and 50296?

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 50278 and 50296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50278 and 50296, than apply into the LCM equation.

GCF(50278,50296) = 2
LCM(50278,50296) = ( 50278 × 50296) / 2
LCM(50278,50296) = 2528782288 / 2
LCM(50278,50296) = 1264391144

Least Common Multiple (LCM) of 50278 and 50296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50278 and 50296. First we will calculate the prime factors of 50278 and 50296.

Prime Factorization of 50278

Prime Factorization of 50296

Now multiplying the highest exponent prime factors to calculate the LCM of 50278 and 50296.

LCM(50278,50296) = 2³ × 23¹ × 1093¹ × 6287¹
LCM(50278,50296) = 1264391144