What is the Least Common Multiple of 14364 and 14368?

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 14364 and 14368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14364 and 14368, than apply into the LCM equation.

GCF(14364,14368) = 4
LCM(14364,14368) = ( 14364 × 14368) / 4
LCM(14364,14368) = 206381952 / 4
LCM(14364,14368) = 51595488

Least Common Multiple (LCM) of 14364 and 14368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14364 and 14368. First we will calculate the prime factors of 14364 and 14368.

Prime Factorization of 14364

Prime Factorization of 14368

Now multiplying the highest exponent prime factors to calculate the LCM of 14364 and 14368.

LCM(14364,14368) = 2⁵ × 3³ × 7¹ × 19¹ × 449¹
LCM(14364,14368) = 51595488