What is the Least Common Multiple of 48304 and 48314?

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 48304 and 48314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48304 and 48314, than apply into the LCM equation.

GCF(48304,48314) = 2
LCM(48304,48314) = ( 48304 × 48314) / 2
LCM(48304,48314) = 2333759456 / 2
LCM(48304,48314) = 1166879728

Least Common Multiple (LCM) of 48304 and 48314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48304 and 48314. First we will calculate the prime factors of 48304 and 48314.

Prime Factorization of 48304

Prime Factorization of 48314

Now multiplying the highest exponent prime factors to calculate the LCM of 48304 and 48314.

LCM(48304,48314) = 2⁴ × 3019¹ × 7² × 17¹ × 29¹
LCM(48304,48314) = 1166879728