What is the Least Common Multiple of 17390 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 17390 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 17390 and 17409, than apply into the LCM equation.

GCF(17390,17409) = 1
LCM(17390,17409) = ( 17390 × 17409) / 1
LCM(17390,17409) = 302742510 / 1
LCM(17390,17409) = 302742510

Least Common Multiple (LCM) of 17390 and 17409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17390 and 17409. First we will calculate the prime factors of 17390 and 17409.

Prime Factorization of 17390

Prime Factorization of 17409

Now multiplying the highest exponent prime factors to calculate the LCM of 17390 and 17409.

LCM(17390,17409) = 2¹ × 5¹ × 37¹ × 47¹ × 3¹ × 7¹ × 829¹
LCM(17390,17409) = 302742510