What is the Least Common Multiple of 2378 and 2382?

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 2378 and 2382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2378 and 2382, than apply into the LCM equation.

GCF(2378,2382) = 2
LCM(2378,2382) = ( 2378 × 2382) / 2
LCM(2378,2382) = 5664396 / 2
LCM(2378,2382) = 2832198

Least Common Multiple (LCM) of 2378 and 2382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2378 and 2382. First we will calculate the prime factors of 2378 and 2382.

Prime Factorization of 2378

Prime Factorization of 2382

Now multiplying the highest exponent prime factors to calculate the LCM of 2378 and 2382.

LCM(2378,2382) = 2¹ × 29¹ × 41¹ × 3¹ × 397¹
LCM(2378,2382) = 2832198