What is the Least Common Multiple of 17589 and 17593?

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 17589 and 17593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17589 and 17593, than apply into the LCM equation.

GCF(17589,17593) = 1
LCM(17589,17593) = ( 17589 × 17593) / 1
LCM(17589,17593) = 309443277 / 1
LCM(17589,17593) = 309443277

Least Common Multiple (LCM) of 17589 and 17593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17589 and 17593. First we will calculate the prime factors of 17589 and 17593.

Prime Factorization of 17589

Prime Factorization of 17593

Now multiplying the highest exponent prime factors to calculate the LCM of 17589 and 17593.

LCM(17589,17593) = 3¹ × 11¹ × 13¹ × 41¹ × 73¹ × 241¹
LCM(17589,17593) = 309443277