What is the Least Common Multiple of 58384 and 58389?

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 58384 and 58389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58384 and 58389, than apply into the LCM equation.

GCF(58384,58389) = 1
LCM(58384,58389) = ( 58384 × 58389) / 1
LCM(58384,58389) = 3408983376 / 1
LCM(58384,58389) = 3408983376

Least Common Multiple (LCM) of 58384 and 58389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58384 and 58389. First we will calculate the prime factors of 58384 and 58389.

Prime Factorization of 58384

Prime Factorization of 58389

Now multiplying the highest exponent prime factors to calculate the LCM of 58384 and 58389.

LCM(58384,58389) = 2⁴ × 41¹ × 89¹ × 3¹ × 19463¹
LCM(58384,58389) = 3408983376