What is the Least Common Multiple of 48339 and 48344?

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 48339 and 48344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48339 and 48344, than apply into the LCM equation.

GCF(48339,48344) = 1
LCM(48339,48344) = ( 48339 × 48344) / 1
LCM(48339,48344) = 2336900616 / 1
LCM(48339,48344) = 2336900616

Least Common Multiple (LCM) of 48339 and 48344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48339 and 48344. First we will calculate the prime factors of 48339 and 48344.

Prime Factorization of 48339

Prime Factorization of 48344

Now multiplying the highest exponent prime factors to calculate the LCM of 48339 and 48344.

LCM(48339,48344) = 3² × 41¹ × 131¹ × 2³ × 6043¹
LCM(48339,48344) = 2336900616