What is the Least Common Multiple of 13384 and 13389?

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 13384 and 13389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13384 and 13389, than apply into the LCM equation.

GCF(13384,13389) = 1
LCM(13384,13389) = ( 13384 × 13389) / 1
LCM(13384,13389) = 179198376 / 1
LCM(13384,13389) = 179198376

Least Common Multiple (LCM) of 13384 and 13389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13384 and 13389. First we will calculate the prime factors of 13384 and 13389.

Prime Factorization of 13384

Prime Factorization of 13389

Now multiplying the highest exponent prime factors to calculate the LCM of 13384 and 13389.

LCM(13384,13389) = 2³ × 7¹ × 239¹ × 3¹ × 4463¹
LCM(13384,13389) = 179198376