What is the Least Common Multiple of 5864 and 5878?

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 5864 and 5878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5864 and 5878, than apply into the LCM equation.

GCF(5864,5878) = 2
LCM(5864,5878) = ( 5864 × 5878) / 2
LCM(5864,5878) = 34468592 / 2
LCM(5864,5878) = 17234296

Least Common Multiple (LCM) of 5864 and 5878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5864 and 5878. First we will calculate the prime factors of 5864 and 5878.

Prime Factorization of 5864

Prime Factorization of 5878

Now multiplying the highest exponent prime factors to calculate the LCM of 5864 and 5878.

LCM(5864,5878) = 2³ × 733¹ × 2939¹
LCM(5864,5878) = 17234296