What is the Least Common Multiple of 82164 and 82183?

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 82164 and 82183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82164 and 82183, than apply into the LCM equation.

GCF(82164,82183) = 1
LCM(82164,82183) = ( 82164 × 82183) / 1
LCM(82164,82183) = 6752484012 / 1
LCM(82164,82183) = 6752484012

Least Common Multiple (LCM) of 82164 and 82183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82164 and 82183. First we will calculate the prime factors of 82164 and 82183.

Prime Factorization of 82164

Prime Factorization of 82183

Now multiplying the highest exponent prime factors to calculate the LCM of 82164 and 82183.

LCM(82164,82183) = 2² × 3¹ × 41¹ × 167¹ × 82183¹
LCM(82164,82183) = 6752484012