What is the Least Common Multiple of 75831 and 75849?

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 75831 and 75849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75831 and 75849, than apply into the LCM equation.

GCF(75831,75849) = 3
LCM(75831,75849) = ( 75831 × 75849) / 3
LCM(75831,75849) = 5751705519 / 3
LCM(75831,75849) = 1917235173

Least Common Multiple (LCM) of 75831 and 75849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75831 and 75849. First we will calculate the prime factors of 75831 and 75849.

Prime Factorization of 75831

Prime Factorization of 75849

Now multiplying the highest exponent prime factors to calculate the LCM of 75831 and 75849.

LCM(75831,75849) = 3¹ × 7¹ × 23¹ × 157¹ × 131¹ × 193¹
LCM(75831,75849) = 1917235173