What is the Least Common Multiple of 17105 and 17125?

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 17105 and 17125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17105 and 17125, than apply into the LCM equation.

GCF(17105,17125) = 5
LCM(17105,17125) = ( 17105 × 17125) / 5
LCM(17105,17125) = 292923125 / 5
LCM(17105,17125) = 58584625

Least Common Multiple (LCM) of 17105 and 17125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17105 and 17125. First we will calculate the prime factors of 17105 and 17125.

Prime Factorization of 17105

Prime Factorization of 17125

Now multiplying the highest exponent prime factors to calculate the LCM of 17105 and 17125.

LCM(17105,17125) = 5³ × 11¹ × 311¹ × 137¹
LCM(17105,17125) = 58584625