What is the Least Common Multiple of 14368 and 14376?

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 14368 and 14376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14368 and 14376, than apply into the LCM equation.

GCF(14368,14376) = 8
LCM(14368,14376) = ( 14368 × 14376) / 8
LCM(14368,14376) = 206554368 / 8
LCM(14368,14376) = 25819296

Least Common Multiple (LCM) of 14368 and 14376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14368 and 14376. First we will calculate the prime factors of 14368 and 14376.

Prime Factorization of 14368

Prime Factorization of 14376

Now multiplying the highest exponent prime factors to calculate the LCM of 14368 and 14376.

LCM(14368,14376) = 2⁵ × 449¹ × 3¹ × 599¹
LCM(14368,14376) = 25819296