What is the Least Common Multiple of 75891 and 75909?

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 75891 and 75909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75891 and 75909, than apply into the LCM equation.

GCF(75891,75909) = 3
LCM(75891,75909) = ( 75891 × 75909) / 3
LCM(75891,75909) = 5760809919 / 3
LCM(75891,75909) = 1920269973

Least Common Multiple (LCM) of 75891 and 75909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75891 and 75909. First we will calculate the prime factors of 75891 and 75909.

Prime Factorization of 75891

Prime Factorization of 75909

Now multiplying the highest exponent prime factors to calculate the LCM of 75891 and 75909.

LCM(75891,75909) = 3¹ × 41¹ × 617¹ × 25303¹
LCM(75891,75909) = 1920269973