What is the Least Common Multiple of 58385 and 58401?

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 58385 and 58401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58385 and 58401, than apply into the LCM equation.

GCF(58385,58401) = 1
LCM(58385,58401) = ( 58385 × 58401) / 1
LCM(58385,58401) = 3409742385 / 1
LCM(58385,58401) = 3409742385

Least Common Multiple (LCM) of 58385 and 58401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58385 and 58401. First we will calculate the prime factors of 58385 and 58401.

Prime Factorization of 58385

Prime Factorization of 58401

Now multiplying the highest exponent prime factors to calculate the LCM of 58385 and 58401.

LCM(58385,58401) = 5¹ × 11677¹ × 3⁴ × 7¹ × 103¹
LCM(58385,58401) = 3409742385