What is the Least Common Multiple of 14336 and 14354?

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 14354 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 14354, than apply into the LCM equation.

GCF(14336,14354) = 2
LCM(14336,14354) = ( 14336 × 14354) / 2
LCM(14336,14354) = 205778944 / 2
LCM(14336,14354) = 102889472

Least Common Multiple (LCM) of 14336 and 14354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14336 and 14354. First we will calculate the prime factors of 14336 and 14354.

Prime Factorization of 14336

Prime Factorization of 14354

Now multiplying the highest exponent prime factors to calculate the LCM of 14336 and 14354.

LCM(14336,14354) = 2¹¹ × 7¹ × 7177¹
LCM(14336,14354) = 102889472