What is the Least Common Multiple of 75872 and 75886?

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 75872 and 75886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75872 and 75886, than apply into the LCM equation.

GCF(75872,75886) = 2
LCM(75872,75886) = ( 75872 × 75886) / 2
LCM(75872,75886) = 5757622592 / 2
LCM(75872,75886) = 2878811296

Least Common Multiple (LCM) of 75872 and 75886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75872 and 75886. First we will calculate the prime factors of 75872 and 75886.

Prime Factorization of 75872

Prime Factorization of 75886

Now multiplying the highest exponent prime factors to calculate the LCM of 75872 and 75886.

LCM(75872,75886) = 2⁵ × 2371¹ × 19¹ × 1997¹
LCM(75872,75886) = 2878811296