What is the Least Common Multiple of 17394 and 17409?

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 17394 and 17409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17394 and 17409, than apply into the LCM equation.

GCF(17394,17409) = 3
LCM(17394,17409) = ( 17394 × 17409) / 3
LCM(17394,17409) = 302812146 / 3
LCM(17394,17409) = 100937382

Least Common Multiple (LCM) of 17394 and 17409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17394 and 17409. First we will calculate the prime factors of 17394 and 17409.

Prime Factorization of 17394

Prime Factorization of 17409

Now multiplying the highest exponent prime factors to calculate the LCM of 17394 and 17409.

LCM(17394,17409) = 2¹ × 3¹ × 13¹ × 223¹ × 7¹ × 829¹
LCM(17394,17409) = 100937382