What is the Least Common Multiple of 2385 and 2401?

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 2385 and 2401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2385 and 2401, than apply into the LCM equation.

GCF(2385,2401) = 1
LCM(2385,2401) = ( 2385 × 2401) / 1
LCM(2385,2401) = 5726385 / 1
LCM(2385,2401) = 5726385

Least Common Multiple (LCM) of 2385 and 2401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2385 and 2401. First we will calculate the prime factors of 2385 and 2401.

Prime Factorization of 2385

Prime Factorization of 2401

Now multiplying the highest exponent prime factors to calculate the LCM of 2385 and 2401.

LCM(2385,2401) = 3² × 5¹ × 53¹ × 7⁴
LCM(2385,2401) = 5726385