What is the Least Common Multiple of 16399 and 16408?

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 16399 and 16408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16399 and 16408, than apply into the LCM equation.

GCF(16399,16408) = 1
LCM(16399,16408) = ( 16399 × 16408) / 1
LCM(16399,16408) = 269074792 / 1
LCM(16399,16408) = 269074792

Least Common Multiple (LCM) of 16399 and 16408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16399 and 16408. First we will calculate the prime factors of 16399 and 16408.

Prime Factorization of 16399

Prime Factorization of 16408

Now multiplying the highest exponent prime factors to calculate the LCM of 16399 and 16408.

LCM(16399,16408) = 23² × 31¹ × 2³ × 7¹ × 293¹
LCM(16399,16408) = 269074792