What is the Least Common Multiple of 17305 and 17310?

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 17305 and 17310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17305 and 17310, than apply into the LCM equation.

GCF(17305,17310) = 5
LCM(17305,17310) = ( 17305 × 17310) / 5
LCM(17305,17310) = 299549550 / 5
LCM(17305,17310) = 59909910

Least Common Multiple (LCM) of 17305 and 17310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17305 and 17310. First we will calculate the prime factors of 17305 and 17310.

Prime Factorization of 17305

Prime Factorization of 17310

Now multiplying the highest exponent prime factors to calculate the LCM of 17305 and 17310.

LCM(17305,17310) = 5¹ × 3461¹ × 2¹ × 3¹ × 577¹
LCM(17305,17310) = 59909910