What is the Least Common Multiple of 75858 and 75872?

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 75858 and 75872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75858 and 75872, than apply into the LCM equation.

GCF(75858,75872) = 2
LCM(75858,75872) = ( 75858 × 75872) / 2
LCM(75858,75872) = 5755498176 / 2
LCM(75858,75872) = 2877749088

Least Common Multiple (LCM) of 75858 and 75872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75858 and 75872. First we will calculate the prime factors of 75858 and 75872.

Prime Factorization of 75858

Prime Factorization of 75872

Now multiplying the highest exponent prime factors to calculate the LCM of 75858 and 75872.

LCM(75858,75872) = 2⁵ × 3¹ × 47¹ × 269¹ × 2371¹
LCM(75858,75872) = 2877749088