What is the Least Common Multiple of 50728 and 50741?

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 50728 and 50741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50728 and 50741, than apply into the LCM equation.

GCF(50728,50741) = 1
LCM(50728,50741) = ( 50728 × 50741) / 1
LCM(50728,50741) = 2573989448 / 1
LCM(50728,50741) = 2573989448

Least Common Multiple (LCM) of 50728 and 50741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50728 and 50741. First we will calculate the prime factors of 50728 and 50741.

Prime Factorization of 50728

Prime Factorization of 50741

Now multiplying the highest exponent prime factors to calculate the LCM of 50728 and 50741.

LCM(50728,50741) = 2³ × 17¹ × 373¹ × 50741¹
LCM(50728,50741) = 2573989448