What is the Least Common Multiple of 58589 and 58605?

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 58589 and 58605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58589 and 58605, than apply into the LCM equation.

GCF(58589,58605) = 1
LCM(58589,58605) = ( 58589 × 58605) / 1
LCM(58589,58605) = 3433608345 / 1
LCM(58589,58605) = 3433608345

Least Common Multiple (LCM) of 58589 and 58605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58589 and 58605. First we will calculate the prime factors of 58589 and 58605.

Prime Factorization of 58589

Prime Factorization of 58605

Now multiplying the highest exponent prime factors to calculate the LCM of 58589 and 58605.

LCM(58589,58605) = 41¹ × 1429¹ × 3¹ × 5¹ × 3907¹
LCM(58589,58605) = 3433608345