What is the Least Common Multiple of 50576 and 50589?

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 50589 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 50589, than apply into the LCM equation.

GCF(50576,50589) = 1
LCM(50576,50589) = ( 50576 × 50589) / 1
LCM(50576,50589) = 2558589264 / 1
LCM(50576,50589) = 2558589264

Least Common Multiple (LCM) of 50576 and 50589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50576 and 50589. First we will calculate the prime factors of 50576 and 50589.

Prime Factorization of 50576

Prime Factorization of 50589

Now multiplying the highest exponent prime factors to calculate the LCM of 50576 and 50589.

LCM(50576,50589) = 2⁴ × 29¹ × 109¹ × 3² × 7¹ × 11¹ × 73¹
LCM(50576,50589) = 2558589264