What is the Least Common Multiple of 17075 and 17081?

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 17075 and 17081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17075 and 17081, than apply into the LCM equation.

GCF(17075,17081) = 1
LCM(17075,17081) = ( 17075 × 17081) / 1
LCM(17075,17081) = 291658075 / 1
LCM(17075,17081) = 291658075

Least Common Multiple (LCM) of 17075 and 17081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17075 and 17081. First we will calculate the prime factors of 17075 and 17081.

Prime Factorization of 17075

Prime Factorization of 17081

Now multiplying the highest exponent prime factors to calculate the LCM of 17075 and 17081.

LCM(17075,17081) = 5² × 683¹ × 19¹ × 29¹ × 31¹
LCM(17075,17081) = 291658075