What is the Least Common Multiple of 17409 and 17424?

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 17409 and 17424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17409 and 17424, than apply into the LCM equation.

GCF(17409,17424) = 3
LCM(17409,17424) = ( 17409 × 17424) / 3
LCM(17409,17424) = 303334416 / 3
LCM(17409,17424) = 101111472

Least Common Multiple (LCM) of 17409 and 17424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17409 and 17424. First we will calculate the prime factors of 17409 and 17424.

Prime Factorization of 17409

Prime Factorization of 17424

Now multiplying the highest exponent prime factors to calculate the LCM of 17409 and 17424.

LCM(17409,17424) = 3² × 7¹ × 829¹ × 2⁴ × 11²
LCM(17409,17424) = 101111472