What is the Least Common Multiple of 5872 and 5877?

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 5877 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 5877, than apply into the LCM equation.

GCF(5872,5877) = 1
LCM(5872,5877) = ( 5872 × 5877) / 1
LCM(5872,5877) = 34509744 / 1
LCM(5872,5877) = 34509744

Least Common Multiple (LCM) of 5872 and 5877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5872 and 5877. First we will calculate the prime factors of 5872 and 5877.

Prime Factorization of 5872

Prime Factorization of 5877

Now multiplying the highest exponent prime factors to calculate the LCM of 5872 and 5877.

LCM(5872,5877) = 2⁴ × 367¹ × 3² × 653¹
LCM(5872,5877) = 34509744