What is the Least Common Multiple of 75715 and 75728?

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 75715 and 75728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75715 and 75728, than apply into the LCM equation.

GCF(75715,75728) = 1
LCM(75715,75728) = ( 75715 × 75728) / 1
LCM(75715,75728) = 5733745520 / 1
LCM(75715,75728) = 5733745520

Least Common Multiple (LCM) of 75715 and 75728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75715 and 75728. First we will calculate the prime factors of 75715 and 75728.

Prime Factorization of 75715

Prime Factorization of 75728

Now multiplying the highest exponent prime factors to calculate the LCM of 75715 and 75728.

LCM(75715,75728) = 5¹ × 19¹ × 797¹ × 2⁴ × 4733¹
LCM(75715,75728) = 5733745520