What is the Least Common Multiple of 80576 and 80593?

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 80576 and 80593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80576 and 80593, than apply into the LCM equation.

GCF(80576,80593) = 1
LCM(80576,80593) = ( 80576 × 80593) / 1
LCM(80576,80593) = 6493861568 / 1
LCM(80576,80593) = 6493861568

Least Common Multiple (LCM) of 80576 and 80593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80576 and 80593. First we will calculate the prime factors of 80576 and 80593.

Prime Factorization of 80576

Prime Factorization of 80593

Now multiplying the highest exponent prime factors to calculate the LCM of 80576 and 80593.

LCM(80576,80593) = 2⁶ × 1259¹ × 83¹ × 971¹
LCM(80576,80593) = 6493861568