What is the Least Common Multiple of 14336 and 14353?

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 14353 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 14353, than apply into the LCM equation.

GCF(14336,14353) = 1
LCM(14336,14353) = ( 14336 × 14353) / 1
LCM(14336,14353) = 205764608 / 1
LCM(14336,14353) = 205764608

Least Common Multiple (LCM) of 14336 and 14353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14336 and 14353. First we will calculate the prime factors of 14336 and 14353.

Prime Factorization of 14336

Prime Factorization of 14353

Now multiplying the highest exponent prime factors to calculate the LCM of 14336 and 14353.

LCM(14336,14353) = 2¹¹ × 7¹ × 31¹ × 463¹
LCM(14336,14353) = 205764608