What is the Least Common Multiple of 17258 and 17275?

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 17258 and 17275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17258 and 17275, than apply into the LCM equation.

GCF(17258,17275) = 1
LCM(17258,17275) = ( 17258 × 17275) / 1
LCM(17258,17275) = 298131950 / 1
LCM(17258,17275) = 298131950

Least Common Multiple (LCM) of 17258 and 17275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17258 and 17275. First we will calculate the prime factors of 17258 and 17275.

Prime Factorization of 17258

Prime Factorization of 17275

Now multiplying the highest exponent prime factors to calculate the LCM of 17258 and 17275.

LCM(17258,17275) = 2¹ × 8629¹ × 5² × 691¹
LCM(17258,17275) = 298131950