What is the Least Common Multiple of 17329 and 17341?

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 17329 and 17341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17329 and 17341, than apply into the LCM equation.

GCF(17329,17341) = 1
LCM(17329,17341) = ( 17329 × 17341) / 1
LCM(17329,17341) = 300502189 / 1
LCM(17329,17341) = 300502189

Least Common Multiple (LCM) of 17329 and 17341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17329 and 17341. First we will calculate the prime factors of 17329 and 17341.

Prime Factorization of 17329

Prime Factorization of 17341

Now multiplying the highest exponent prime factors to calculate the LCM of 17329 and 17341.

LCM(17329,17341) = 13¹ × 31¹ × 43¹ × 17341¹
LCM(17329,17341) = 300502189