What is the Least Common Multiple of 75729 and 75742?

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 75729 and 75742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75729 and 75742, than apply into the LCM equation.

GCF(75729,75742) = 1
LCM(75729,75742) = ( 75729 × 75742) / 1
LCM(75729,75742) = 5735865918 / 1
LCM(75729,75742) = 5735865918

Least Common Multiple (LCM) of 75729 and 75742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75729 and 75742. First we will calculate the prime factors of 75729 and 75742.

Prime Factorization of 75729

Prime Factorization of 75742

Now multiplying the highest exponent prime factors to calculate the LCM of 75729 and 75742.

LCM(75729,75742) = 3¹ × 25243¹ × 2¹ × 37871¹
LCM(75729,75742) = 5735865918