What is the Least Common Multiple of 16384 and 16403?

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 16384 and 16403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16384 and 16403, than apply into the LCM equation.

GCF(16384,16403) = 1
LCM(16384,16403) = ( 16384 × 16403) / 1
LCM(16384,16403) = 268746752 / 1
LCM(16384,16403) = 268746752

Least Common Multiple (LCM) of 16384 and 16403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16384 and 16403. First we will calculate the prime factors of 16384 and 16403.

Prime Factorization of 16384

Prime Factorization of 16403

Now multiplying the highest exponent prime factors to calculate the LCM of 16384 and 16403.

LCM(16384,16403) = 2¹⁴ × 47¹ × 349¹
LCM(16384,16403) = 268746752