GCF and LCM Calculator Logo

What is the Least Common Multiple of 17163 and 17175?

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 (LCM) of 17163 and 17175 is 98258175.

LCM(17163,17175) = 98258175

LCM Calculator and
and

Least Common Multiple of 17163 and 17175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17163 and 17175, than apply into the LCM equation.

GCF(17163,17175) = 3
LCM(17163,17175) = ( 17163 × 17175) / 3
LCM(17163,17175) = 294774525 / 3
LCM(17163,17175) = 98258175

Least Common Multiple (LCM) of 17163 and 17175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17163 and 17175. First we will calculate the prime factors of 17163 and 17175.

Prime Factorization of 17163

Prime factors of 17163 are 3, 1907. Prime factorization of 17163 in exponential form is:

17163 = 32 × 19071

Prime Factorization of 17175

Prime factors of 17175 are 3, 5, 229. Prime factorization of 17175 in exponential form is:

17175 = 31 × 52 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 17163 and 17175.

LCM(17163,17175) = 32 × 19071 × 52 × 2291
LCM(17163,17175) = 98258175