What is the Least Common Multiple of 75872 and 75877?

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 75877 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 75877, than apply into the LCM equation.

GCF(75872,75877) = 1
LCM(75872,75877) = ( 75872 × 75877) / 1
LCM(75872,75877) = 5756939744 / 1
LCM(75872,75877) = 5756939744

Least Common Multiple (LCM) of 75872 and 75877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75872 and 75877. First we will calculate the prime factors of 75872 and 75877.

Prime Factorization of 75872

Prime Factorization of 75877

Now multiplying the highest exponent prime factors to calculate the LCM of 75872 and 75877.

LCM(75872,75877) = 2⁵ × 2371¹ × 23¹ × 3299¹
LCM(75872,75877) = 5756939744