What is the Least Common Multiple of 75809 and 75828?

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 75809 and 75828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75809 and 75828, than apply into the LCM equation.

GCF(75809,75828) = 1
LCM(75809,75828) = ( 75809 × 75828) / 1
LCM(75809,75828) = 5748444852 / 1
LCM(75809,75828) = 5748444852

Least Common Multiple (LCM) of 75809 and 75828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75809 and 75828. First we will calculate the prime factors of 75809 and 75828.

Prime Factorization of 75809

Prime Factorization of 75828

Now multiplying the highest exponent prime factors to calculate the LCM of 75809 and 75828.

LCM(75809,75828) = 41¹ × 43² × 2² × 3¹ × 71¹ × 89¹
LCM(75809,75828) = 5748444852