What is the Least Common Multiple of 2331 and 2338?

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 2331 and 2338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2331 and 2338, than apply into the LCM equation.

GCF(2331,2338) = 7
LCM(2331,2338) = ( 2331 × 2338) / 7
LCM(2331,2338) = 5449878 / 7
LCM(2331,2338) = 778554

Least Common Multiple (LCM) of 2331 and 2338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2331 and 2338. First we will calculate the prime factors of 2331 and 2338.

Prime Factorization of 2331

Prime Factorization of 2338

Now multiplying the highest exponent prime factors to calculate the LCM of 2331 and 2338.

LCM(2331,2338) = 3² × 7¹ × 37¹ × 2¹ × 167¹
LCM(2331,2338) = 778554