What is the Least Common Multiple of 82149 and 82164?

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 82149 and 82164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82149 and 82164, than apply into the LCM equation.

GCF(82149,82164) = 3
LCM(82149,82164) = ( 82149 × 82164) / 3
LCM(82149,82164) = 6749690436 / 3
LCM(82149,82164) = 2249896812

Least Common Multiple (LCM) of 82149 and 82164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82149 and 82164. First we will calculate the prime factors of 82149 and 82164.

Prime Factorization of 82149

Prime Factorization of 82164

Now multiplying the highest exponent prime factors to calculate the LCM of 82149 and 82164.

LCM(82149,82164) = 3¹ × 139¹ × 197¹ × 2² × 41¹ × 167¹
LCM(82149,82164) = 2249896812