What is the Least Common Multiple of 80016 and 80032?

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 80016 and 80032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80016 and 80032, than apply into the LCM equation.

GCF(80016,80032) = 16
LCM(80016,80032) = ( 80016 × 80032) / 16
LCM(80016,80032) = 6403840512 / 16
LCM(80016,80032) = 400240032

Least Common Multiple (LCM) of 80016 and 80032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80016 and 80032. First we will calculate the prime factors of 80016 and 80032.

Prime Factorization of 80016

Prime Factorization of 80032

Now multiplying the highest exponent prime factors to calculate the LCM of 80016 and 80032.

LCM(80016,80032) = 2⁵ × 3¹ × 1667¹ × 41¹ × 61¹
LCM(80016,80032) = 400240032