What is the Least Common Multiple of 48339 and 48348?

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 48348 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 48348, than apply into the LCM equation.

GCF(48339,48348) = 9
LCM(48339,48348) = ( 48339 × 48348) / 9
LCM(48339,48348) = 2337093972 / 9
LCM(48339,48348) = 259677108

Least Common Multiple (LCM) of 48339 and 48348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48339 and 48348. First we will calculate the prime factors of 48339 and 48348.

Prime Factorization of 48339

Prime Factorization of 48348

Now multiplying the highest exponent prime factors to calculate the LCM of 48339 and 48348.

LCM(48339,48348) = 3² × 41¹ × 131¹ × 2² × 17¹ × 79¹
LCM(48339,48348) = 259677108