What is the Least Common Multiple of 48314 and 48319?

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 48314 and 48319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48314 and 48319, than apply into the LCM equation.

GCF(48314,48319) = 1
LCM(48314,48319) = ( 48314 × 48319) / 1
LCM(48314,48319) = 2334484166 / 1
LCM(48314,48319) = 2334484166

Least Common Multiple (LCM) of 48314 and 48319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48314 and 48319. First we will calculate the prime factors of 48314 and 48319.

Prime Factorization of 48314

Prime Factorization of 48319

Now multiplying the highest exponent prime factors to calculate the LCM of 48314 and 48319.

LCM(48314,48319) = 2¹ × 7² × 17¹ × 29¹ × 211¹ × 229¹
LCM(48314,48319) = 2334484166