What is the Least Common Multiple of 2378 and 2384?

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 2384 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 2384, than apply into the LCM equation.

GCF(2378,2384) = 2
LCM(2378,2384) = ( 2378 × 2384) / 2
LCM(2378,2384) = 5669152 / 2
LCM(2378,2384) = 2834576

Least Common Multiple (LCM) of 2378 and 2384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2378 and 2384. First we will calculate the prime factors of 2378 and 2384.

Prime Factorization of 2378

Prime Factorization of 2384

Now multiplying the highest exponent prime factors to calculate the LCM of 2378 and 2384.

LCM(2378,2384) = 2⁴ × 29¹ × 41¹ × 149¹
LCM(2378,2384) = 2834576