What is the Least Common Multiple of 75734 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 75734 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 75734 and 75742, than apply into the LCM equation.

GCF(75734,75742) = 2
LCM(75734,75742) = ( 75734 × 75742) / 2
LCM(75734,75742) = 5736244628 / 2
LCM(75734,75742) = 2868122314

Least Common Multiple (LCM) of 75734 and 75742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75734 and 75742. First we will calculate the prime factors of 75734 and 75742.

Prime Factorization of 75734

Prime Factorization of 75742

Now multiplying the highest exponent prime factors to calculate the LCM of 75734 and 75742.

LCM(75734,75742) = 2¹ × 19¹ × 1993¹ × 37871¹
LCM(75734,75742) = 2868122314