What is the Least Common Multiple of 12318 and 12338?

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 12318 and 12338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12318 and 12338, than apply into the LCM equation.

GCF(12318,12338) = 2
LCM(12318,12338) = ( 12318 × 12338) / 2
LCM(12318,12338) = 151979484 / 2
LCM(12318,12338) = 75989742

Least Common Multiple (LCM) of 12318 and 12338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12318 and 12338. First we will calculate the prime factors of 12318 and 12338.

Prime Factorization of 12318

Prime Factorization of 12338

Now multiplying the highest exponent prime factors to calculate the LCM of 12318 and 12338.

LCM(12318,12338) = 2¹ × 3¹ × 2053¹ × 31¹ × 199¹
LCM(12318,12338) = 75989742