What is the Least Common Multiple of 2338 and 2356?

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 2356 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 2356, than apply into the LCM equation.

GCF(2338,2356) = 2
LCM(2338,2356) = ( 2338 × 2356) / 2
LCM(2338,2356) = 5508328 / 2
LCM(2338,2356) = 2754164

Least Common Multiple (LCM) of 2338 and 2356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2338 and 2356. First we will calculate the prime factors of 2338 and 2356.

Prime Factorization of 2338

Prime Factorization of 2356

Now multiplying the highest exponent prime factors to calculate the LCM of 2338 and 2356.

LCM(2338,2356) = 2² × 7¹ × 167¹ × 19¹ × 31¹
LCM(2338,2356) = 2754164