What is the Least Common Multiple of 75728 and 75746?

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 75728 and 75746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75728 and 75746, than apply into the LCM equation.

GCF(75728,75746) = 2
LCM(75728,75746) = ( 75728 × 75746) / 2
LCM(75728,75746) = 5736093088 / 2
LCM(75728,75746) = 2868046544

Least Common Multiple (LCM) of 75728 and 75746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75728 and 75746. First we will calculate the prime factors of 75728 and 75746.

Prime Factorization of 75728

Prime Factorization of 75746

Now multiplying the highest exponent prime factors to calculate the LCM of 75728 and 75746.

LCM(75728,75746) = 2⁴ × 4733¹ × 11² × 313¹
LCM(75728,75746) = 2868046544