What is the Least Common Multiple of 14336 and 14347?

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 14336 and 14347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14336 and 14347, than apply into the LCM equation.

GCF(14336,14347) = 1
LCM(14336,14347) = ( 14336 × 14347) / 1
LCM(14336,14347) = 205678592 / 1
LCM(14336,14347) = 205678592

Least Common Multiple (LCM) of 14336 and 14347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14336 and 14347. First we will calculate the prime factors of 14336 and 14347.

Prime Factorization of 14336

Prime Factorization of 14347

Now multiplying the highest exponent prime factors to calculate the LCM of 14336 and 14347.

LCM(14336,14347) = 2¹¹ × 7¹ × 14347¹
LCM(14336,14347) = 205678592