What is the Least Common Multiple of 17328 and 17343?

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 17328 and 17343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17328 and 17343, than apply into the LCM equation.

GCF(17328,17343) = 3
LCM(17328,17343) = ( 17328 × 17343) / 3
LCM(17328,17343) = 300519504 / 3
LCM(17328,17343) = 100173168

Least Common Multiple (LCM) of 17328 and 17343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17328 and 17343. First we will calculate the prime factors of 17328 and 17343.

Prime Factorization of 17328

Prime Factorization of 17343

Now multiplying the highest exponent prime factors to calculate the LCM of 17328 and 17343.

LCM(17328,17343) = 2⁴ × 3² × 19² × 41¹ × 47¹
LCM(17328,17343) = 100173168