What is the Least Common Multiple of 80568 and 80576?

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 80568 and 80576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80568 and 80576, than apply into the LCM equation.

GCF(80568,80576) = 8
LCM(80568,80576) = ( 80568 × 80576) / 8
LCM(80568,80576) = 6491847168 / 8
LCM(80568,80576) = 811480896

Least Common Multiple (LCM) of 80568 and 80576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80568 and 80576. First we will calculate the prime factors of 80568 and 80576.

Prime Factorization of 80568

Prime Factorization of 80576

Now multiplying the highest exponent prime factors to calculate the LCM of 80568 and 80576.

LCM(80568,80576) = 2⁶ × 3³ × 373¹ × 1259¹
LCM(80568,80576) = 811480896