What is the Least Common Multiple of 16385 and 16399?

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 16385 and 16399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16385 and 16399, than apply into the LCM equation.

GCF(16385,16399) = 1
LCM(16385,16399) = ( 16385 × 16399) / 1
LCM(16385,16399) = 268697615 / 1
LCM(16385,16399) = 268697615

Least Common Multiple (LCM) of 16385 and 16399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16385 and 16399. First we will calculate the prime factors of 16385 and 16399.

Prime Factorization of 16385

Prime Factorization of 16399

Now multiplying the highest exponent prime factors to calculate the LCM of 16385 and 16399.

LCM(16385,16399) = 5¹ × 29¹ × 113¹ × 23² × 31¹
LCM(16385,16399) = 268697615