What is the Least Common Multiple of 50584 and 50592?

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 50584 and 50592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50584 and 50592, than apply into the LCM equation.

GCF(50584,50592) = 8
LCM(50584,50592) = ( 50584 × 50592) / 8
LCM(50584,50592) = 2559145728 / 8
LCM(50584,50592) = 319893216

Least Common Multiple (LCM) of 50584 and 50592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50584 and 50592. First we will calculate the prime factors of 50584 and 50592.

Prime Factorization of 50584

Prime Factorization of 50592

Now multiplying the highest exponent prime factors to calculate the LCM of 50584 and 50592.

LCM(50584,50592) = 2⁵ × 6323¹ × 3¹ × 17¹ × 31¹
LCM(50584,50592) = 319893216