What is the Least Common Multiple of 82150 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 82150 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 82150 and 82164, than apply into the LCM equation.

GCF(82150,82164) = 2
LCM(82150,82164) = ( 82150 × 82164) / 2
LCM(82150,82164) = 6749772600 / 2
LCM(82150,82164) = 3374886300

Least Common Multiple (LCM) of 82150 and 82164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82150 and 82164. First we will calculate the prime factors of 82150 and 82164.

Prime Factorization of 82150

Prime Factorization of 82164

Now multiplying the highest exponent prime factors to calculate the LCM of 82150 and 82164.

LCM(82150,82164) = 2² × 5² × 31¹ × 53¹ × 3¹ × 41¹ × 167¹
LCM(82150,82164) = 3374886300