What is the Least Common Multiple of 16393 and 16406?

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 16393 and 16406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16393 and 16406, than apply into the LCM equation.

GCF(16393,16406) = 13
LCM(16393,16406) = ( 16393 × 16406) / 13
LCM(16393,16406) = 268943558 / 13
LCM(16393,16406) = 20687966

Least Common Multiple (LCM) of 16393 and 16406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16393 and 16406. First we will calculate the prime factors of 16393 and 16406.

Prime Factorization of 16393

Prime Factorization of 16406

Now multiplying the highest exponent prime factors to calculate the LCM of 16393 and 16406.

LCM(16393,16406) = 13² × 97¹ × 2¹ × 631¹
LCM(16393,16406) = 20687966