What is the Least Common Multiple of 82016 and 82032?

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 82016 and 82032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82016 and 82032, than apply into the LCM equation.

GCF(82016,82032) = 16
LCM(82016,82032) = ( 82016 × 82032) / 16
LCM(82016,82032) = 6727936512 / 16
LCM(82016,82032) = 420496032

Least Common Multiple (LCM) of 82016 and 82032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82016 and 82032. First we will calculate the prime factors of 82016 and 82032.

Prime Factorization of 82016

Prime Factorization of 82032

Now multiplying the highest exponent prime factors to calculate the LCM of 82016 and 82032.

LCM(82016,82032) = 2⁵ × 11¹ × 233¹ × 3¹ × 1709¹
LCM(82016,82032) = 420496032