What is the Least Common Multiple of 57589 and 57609?

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 57589 and 57609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57589 and 57609, than apply into the LCM equation.

GCF(57589,57609) = 1
LCM(57589,57609) = ( 57589 × 57609) / 1
LCM(57589,57609) = 3317644701 / 1
LCM(57589,57609) = 3317644701

Least Common Multiple (LCM) of 57589 and 57609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57589 and 57609. First we will calculate the prime factors of 57589 and 57609.

Prime Factorization of 57589

Prime Factorization of 57609

Now multiplying the highest exponent prime factors to calculate the LCM of 57589 and 57609.

LCM(57589,57609) = 7¹ × 19¹ × 433¹ × 3² × 37¹ × 173¹
LCM(57589,57609) = 3317644701