What is the Least Common Multiple of 17175 and 17184?

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 17184 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 17184, than apply into the LCM equation.

GCF(17175,17184) = 3
LCM(17175,17184) = ( 17175 × 17184) / 3
LCM(17175,17184) = 295135200 / 3
LCM(17175,17184) = 98378400

Least Common Multiple (LCM) of 17175 and 17184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17175 and 17184. First we will calculate the prime factors of 17175 and 17184.

Prime Factorization of 17175

Prime Factorization of 17184

Now multiplying the highest exponent prime factors to calculate the LCM of 17175 and 17184.

LCM(17175,17184) = 3¹ × 5² × 229¹ × 2⁵ × 179¹
LCM(17175,17184) = 98378400