What is the Least Common Multiple of 81024 and 81032?

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 81024 and 81032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81024 and 81032, than apply into the LCM equation.

GCF(81024,81032) = 8
LCM(81024,81032) = ( 81024 × 81032) / 8
LCM(81024,81032) = 6565536768 / 8
LCM(81024,81032) = 820692096

Least Common Multiple (LCM) of 81024 and 81032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81024 and 81032. First we will calculate the prime factors of 81024 and 81032.

Prime Factorization of 81024

Prime Factorization of 81032

Now multiplying the highest exponent prime factors to calculate the LCM of 81024 and 81032.

LCM(81024,81032) = 2⁷ × 3¹ × 211¹ × 7¹ × 1447¹
LCM(81024,81032) = 820692096