What is the Least Common Multiple of 2382 and 2389?

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 2382 and 2389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2382 and 2389, than apply into the LCM equation.

GCF(2382,2389) = 1
LCM(2382,2389) = ( 2382 × 2389) / 1
LCM(2382,2389) = 5690598 / 1
LCM(2382,2389) = 5690598

Least Common Multiple (LCM) of 2382 and 2389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2382 and 2389. First we will calculate the prime factors of 2382 and 2389.

Prime Factorization of 2382

Prime Factorization of 2389

Now multiplying the highest exponent prime factors to calculate the LCM of 2382 and 2389.

LCM(2382,2389) = 2¹ × 3¹ × 397¹ × 2389¹
LCM(2382,2389) = 5690598