What is the Least Common Multiple of 75719 and 75734?

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 75719 and 75734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75719 and 75734, than apply into the LCM equation.

GCF(75719,75734) = 1
LCM(75719,75734) = ( 75719 × 75734) / 1
LCM(75719,75734) = 5734502746 / 1
LCM(75719,75734) = 5734502746

Least Common Multiple (LCM) of 75719 and 75734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75719 and 75734. First we will calculate the prime factors of 75719 and 75734.

Prime Factorization of 75719

Prime Factorization of 75734

Now multiplying the highest exponent prime factors to calculate the LCM of 75719 and 75734.

LCM(75719,75734) = 7¹ × 29¹ × 373¹ × 2¹ × 19¹ × 1993¹
LCM(75719,75734) = 5734502746