What is the Least Common Multiple of 16589 and 16609?

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 16589 and 16609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16589 and 16609, than apply into the LCM equation.

GCF(16589,16609) = 1
LCM(16589,16609) = ( 16589 × 16609) / 1
LCM(16589,16609) = 275526701 / 1
LCM(16589,16609) = 275526701

Least Common Multiple (LCM) of 16589 and 16609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16589 and 16609. First we will calculate the prime factors of 16589 and 16609.

Prime Factorization of 16589

Prime Factorization of 16609

Now multiplying the highest exponent prime factors to calculate the LCM of 16589 and 16609.

LCM(16589,16609) = 53¹ × 313¹ × 17¹ × 977¹
LCM(16589,16609) = 275526701