What is the Least Common Multiple of 57385 and 57389?

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 57385 and 57389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57385 and 57389, than apply into the LCM equation.

GCF(57385,57389) = 1
LCM(57385,57389) = ( 57385 × 57389) / 1
LCM(57385,57389) = 3293267765 / 1
LCM(57385,57389) = 3293267765

Least Common Multiple (LCM) of 57385 and 57389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57385 and 57389. First we will calculate the prime factors of 57385 and 57389.

Prime Factorization of 57385

Prime Factorization of 57389

Now multiplying the highest exponent prime factors to calculate the LCM of 57385 and 57389.

LCM(57385,57389) = 5¹ × 23¹ × 499¹ × 57389¹
LCM(57385,57389) = 3293267765