What is the Least Common Multiple of 17590 and 17609?

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 17590 and 17609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17590 and 17609, than apply into the LCM equation.

GCF(17590,17609) = 1
LCM(17590,17609) = ( 17590 × 17609) / 1
LCM(17590,17609) = 309742310 / 1
LCM(17590,17609) = 309742310

Least Common Multiple (LCM) of 17590 and 17609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17590 and 17609. First we will calculate the prime factors of 17590 and 17609.

Prime Factorization of 17590

Prime Factorization of 17609

Now multiplying the highest exponent prime factors to calculate the LCM of 17590 and 17609.

LCM(17590,17609) = 2¹ × 5¹ × 1759¹ × 17609¹
LCM(17590,17609) = 309742310