What is the Least Common Multiple of 75886 and 75905?

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 75886 and 75905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75886 and 75905, than apply into the LCM equation.

GCF(75886,75905) = 19
LCM(75886,75905) = ( 75886 × 75905) / 19
LCM(75886,75905) = 5760126830 / 19
LCM(75886,75905) = 303164570

Least Common Multiple (LCM) of 75886 and 75905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75886 and 75905. First we will calculate the prime factors of 75886 and 75905.

Prime Factorization of 75886

Prime Factorization of 75905

Now multiplying the highest exponent prime factors to calculate the LCM of 75886 and 75905.

LCM(75886,75905) = 2¹ × 19¹ × 1997¹ × 5¹ × 17¹ × 47¹
LCM(75886,75905) = 303164570