What is the Least Common Multiple of 17459 and 17471?

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 17459 and 17471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17459 and 17471, than apply into the LCM equation.

GCF(17459,17471) = 1
LCM(17459,17471) = ( 17459 × 17471) / 1
LCM(17459,17471) = 305026189 / 1
LCM(17459,17471) = 305026189

Least Common Multiple (LCM) of 17459 and 17471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17459 and 17471. First we will calculate the prime factors of 17459 and 17471.

Prime Factorization of 17459

Prime Factorization of 17471

Now multiplying the highest exponent prime factors to calculate the LCM of 17459 and 17471.

LCM(17459,17471) = 13¹ × 17¹ × 79¹ × 17471¹
LCM(17459,17471) = 305026189