What is the Least Common Multiple of 82150 and 82168?

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 82168 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 82168, than apply into the LCM equation.

GCF(82150,82168) = 2
LCM(82150,82168) = ( 82150 × 82168) / 2
LCM(82150,82168) = 6750101200 / 2
LCM(82150,82168) = 3375050600

Least Common Multiple (LCM) of 82150 and 82168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82150 and 82168. First we will calculate the prime factors of 82150 and 82168.

Prime Factorization of 82150

Prime Factorization of 82168

Now multiplying the highest exponent prime factors to calculate the LCM of 82150 and 82168.

LCM(82150,82168) = 2³ × 5² × 31¹ × 53¹ × 10271¹
LCM(82150,82168) = 3375050600