What is the Least Common Multiple of 41589 and 41609?

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 41589 and 41609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41589 and 41609, than apply into the LCM equation.

GCF(41589,41609) = 1
LCM(41589,41609) = ( 41589 × 41609) / 1
LCM(41589,41609) = 1730476701 / 1
LCM(41589,41609) = 1730476701

Least Common Multiple (LCM) of 41589 and 41609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41589 and 41609. First we will calculate the prime factors of 41589 and 41609.

Prime Factorization of 41589

Prime Factorization of 41609

Now multiplying the highest exponent prime factors to calculate the LCM of 41589 and 41609.

LCM(41589,41609) = 3² × 4621¹ × 41609¹
LCM(41589,41609) = 1730476701