What is the Least Common Multiple of 5872 and 5886?

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 5872 and 5886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5872 and 5886, than apply into the LCM equation.

GCF(5872,5886) = 2
LCM(5872,5886) = ( 5872 × 5886) / 2
LCM(5872,5886) = 34562592 / 2
LCM(5872,5886) = 17281296

Least Common Multiple (LCM) of 5872 and 5886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5872 and 5886. First we will calculate the prime factors of 5872 and 5886.

Prime Factorization of 5872

Prime Factorization of 5886

Now multiplying the highest exponent prime factors to calculate the LCM of 5872 and 5886.

LCM(5872,5886) = 2⁴ × 367¹ × 3³ × 109¹
LCM(5872,5886) = 17281296