What is the Least Common Multiple of 50576 and 50593?

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 50576 and 50593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50576 and 50593, than apply into the LCM equation.

GCF(50576,50593) = 1
LCM(50576,50593) = ( 50576 × 50593) / 1
LCM(50576,50593) = 2558791568 / 1
LCM(50576,50593) = 2558791568

Least Common Multiple (LCM) of 50576 and 50593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50576 and 50593. First we will calculate the prime factors of 50576 and 50593.

Prime Factorization of 50576

Prime Factorization of 50593

Now multiplying the highest exponent prime factors to calculate the LCM of 50576 and 50593.

LCM(50576,50593) = 2⁴ × 29¹ × 109¹ × 50593¹
LCM(50576,50593) = 2558791568