What is the Least Common Multiple of 30339 and 30348?

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 30339 and 30348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30339 and 30348, than apply into the LCM equation.

GCF(30339,30348) = 9
LCM(30339,30348) = ( 30339 × 30348) / 9
LCM(30339,30348) = 920727972 / 9
LCM(30339,30348) = 102303108

Least Common Multiple (LCM) of 30339 and 30348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30339 and 30348. First we will calculate the prime factors of 30339 and 30348.

Prime Factorization of 30339

Prime Factorization of 30348

Now multiplying the highest exponent prime factors to calculate the LCM of 30339 and 30348.

LCM(30339,30348) = 3³ × 3371¹ × 2² × 281¹
LCM(30339,30348) = 102303108