What is the Least Common Multiple of 50756 and 50774?

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 50756 and 50774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50756 and 50774, than apply into the LCM equation.

GCF(50756,50774) = 2
LCM(50756,50774) = ( 50756 × 50774) / 2
LCM(50756,50774) = 2577085144 / 2
LCM(50756,50774) = 1288542572

Least Common Multiple (LCM) of 50756 and 50774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50756 and 50774. First we will calculate the prime factors of 50756 and 50774.

Prime Factorization of 50756

Prime Factorization of 50774

Now multiplying the highest exponent prime factors to calculate the LCM of 50756 and 50774.

LCM(50756,50774) = 2² × 12689¹ × 53¹ × 479¹
LCM(50756,50774) = 1288542572