What is the Least Common Multiple of 5376 and 5389?

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 5376 and 5389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5376 and 5389, than apply into the LCM equation.

GCF(5376,5389) = 1
LCM(5376,5389) = ( 5376 × 5389) / 1
LCM(5376,5389) = 28971264 / 1
LCM(5376,5389) = 28971264

Least Common Multiple (LCM) of 5376 and 5389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5376 and 5389. First we will calculate the prime factors of 5376 and 5389.

Prime Factorization of 5376

Prime Factorization of 5389

Now multiplying the highest exponent prime factors to calculate the LCM of 5376 and 5389.

LCM(5376,5389) = 2⁸ × 3¹ × 7¹ × 17¹ × 317¹
LCM(5376,5389) = 28971264