What is the Least Common Multiple of 75819 and 75831?

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 75819 and 75831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75819 and 75831, than apply into the LCM equation.

GCF(75819,75831) = 3
LCM(75819,75831) = ( 75819 × 75831) / 3
LCM(75819,75831) = 5749430589 / 3
LCM(75819,75831) = 1916476863

Least Common Multiple (LCM) of 75819 and 75831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75819 and 75831. First we will calculate the prime factors of 75819 and 75831.

Prime Factorization of 75819

Prime Factorization of 75831

Now multiplying the highest exponent prime factors to calculate the LCM of 75819 and 75831.

LCM(75819,75831) = 3¹ × 127¹ × 199¹ × 7¹ × 23¹ × 157¹
LCM(75819,75831) = 1916476863