What is the Least Common Multiple of 2338 and 2348?

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 2338 and 2348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2338 and 2348, than apply into the LCM equation.

GCF(2338,2348) = 2
LCM(2338,2348) = ( 2338 × 2348) / 2
LCM(2338,2348) = 5489624 / 2
LCM(2338,2348) = 2744812

Least Common Multiple (LCM) of 2338 and 2348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2338 and 2348. First we will calculate the prime factors of 2338 and 2348.

Prime Factorization of 2338

Prime Factorization of 2348

Now multiplying the highest exponent prime factors to calculate the LCM of 2338 and 2348.

LCM(2338,2348) = 2² × 7¹ × 167¹ × 587¹
LCM(2338,2348) = 2744812