What is the Least Common Multiple of 17310 and 17321?

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 17310 and 17321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17310 and 17321, than apply into the LCM equation.

GCF(17310,17321) = 1
LCM(17310,17321) = ( 17310 × 17321) / 1
LCM(17310,17321) = 299826510 / 1
LCM(17310,17321) = 299826510

Least Common Multiple (LCM) of 17310 and 17321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17310 and 17321. First we will calculate the prime factors of 17310 and 17321.

Prime Factorization of 17310

Prime Factorization of 17321

Now multiplying the highest exponent prime factors to calculate the LCM of 17310 and 17321.

LCM(17310,17321) = 2¹ × 3¹ × 5¹ × 577¹ × 17321¹
LCM(17310,17321) = 299826510