What is the Least Common Multiple of 17175 and 17190?

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 17175 and 17190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17175 and 17190, than apply into the LCM equation.

GCF(17175,17190) = 15
LCM(17175,17190) = ( 17175 × 17190) / 15
LCM(17175,17190) = 295238250 / 15
LCM(17175,17190) = 19682550

Least Common Multiple (LCM) of 17175 and 17190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17175 and 17190. First we will calculate the prime factors of 17175 and 17190.

Prime Factorization of 17175

Prime Factorization of 17190

Now multiplying the highest exponent prime factors to calculate the LCM of 17175 and 17190.

LCM(17175,17190) = 3² × 5² × 229¹ × 2¹ × 191¹
LCM(17175,17190) = 19682550