What is the Least Common Multiple of 82009 and 82016?

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 82009 and 82016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82009 and 82016, than apply into the LCM equation.

GCF(82009,82016) = 1
LCM(82009,82016) = ( 82009 × 82016) / 1
LCM(82009,82016) = 6726050144 / 1
LCM(82009,82016) = 6726050144

Least Common Multiple (LCM) of 82009 and 82016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82009 and 82016. First we will calculate the prime factors of 82009 and 82016.

Prime Factorization of 82009

Prime Factorization of 82016

Now multiplying the highest exponent prime factors to calculate the LCM of 82009 and 82016.

LCM(82009,82016) = 82009¹ × 2⁵ × 11¹ × 233¹
LCM(82009,82016) = 6726050144