What is the Least Common Multiple of 2356 and 2375?

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 2356 and 2375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2356 and 2375, than apply into the LCM equation.

GCF(2356,2375) = 19
LCM(2356,2375) = ( 2356 × 2375) / 19
LCM(2356,2375) = 5595500 / 19
LCM(2356,2375) = 294500

Least Common Multiple (LCM) of 2356 and 2375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2356 and 2375. First we will calculate the prime factors of 2356 and 2375.

Prime Factorization of 2356

Prime Factorization of 2375

Now multiplying the highest exponent prime factors to calculate the LCM of 2356 and 2375.

LCM(2356,2375) = 2² × 19¹ × 31¹ × 5³
LCM(2356,2375) = 294500