What is the Least Common Multiple of 48578 and 48592?

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 48578 and 48592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48578 and 48592, than apply into the LCM equation.

GCF(48578,48592) = 2
LCM(48578,48592) = ( 48578 × 48592) / 2
LCM(48578,48592) = 2360502176 / 2
LCM(48578,48592) = 1180251088

Least Common Multiple (LCM) of 48578 and 48592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48578 and 48592. First we will calculate the prime factors of 48578 and 48592.

Prime Factorization of 48578

Prime Factorization of 48592

Now multiplying the highest exponent prime factors to calculate the LCM of 48578 and 48592.

LCM(48578,48592) = 2⁴ × 107¹ × 227¹ × 3037¹
LCM(48578,48592) = 1180251088