What is the Least Common Multiple of 17319 and 17338?

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 17319 and 17338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17319 and 17338, than apply into the LCM equation.

GCF(17319,17338) = 1
LCM(17319,17338) = ( 17319 × 17338) / 1
LCM(17319,17338) = 300276822 / 1
LCM(17319,17338) = 300276822

Least Common Multiple (LCM) of 17319 and 17338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17319 and 17338. First we will calculate the prime factors of 17319 and 17338.

Prime Factorization of 17319

Prime Factorization of 17338

Now multiplying the highest exponent prime factors to calculate the LCM of 17319 and 17338.

LCM(17319,17338) = 3¹ × 23¹ × 251¹ × 2¹ × 8669¹
LCM(17319,17338) = 300276822