What is the Least Common Multiple of 81312 and 81329?

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 81312 and 81329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81312 and 81329, than apply into the LCM equation.

GCF(81312,81329) = 1
LCM(81312,81329) = ( 81312 × 81329) / 1
LCM(81312,81329) = 6613023648 / 1
LCM(81312,81329) = 6613023648

Least Common Multiple (LCM) of 81312 and 81329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81312 and 81329. First we will calculate the prime factors of 81312 and 81329.

Prime Factorization of 81312

Prime Factorization of 81329

Now multiplying the highest exponent prime factors to calculate the LCM of 81312 and 81329.

LCM(81312,81329) = 2⁵ × 3¹ × 7¹ × 11² × 167¹ × 487¹
LCM(81312,81329) = 6613023648