What is the Least Common Multiple of 16208 and 16214?

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 16208 and 16214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16208 and 16214, than apply into the LCM equation.

GCF(16208,16214) = 2
LCM(16208,16214) = ( 16208 × 16214) / 2
LCM(16208,16214) = 262796512 / 2
LCM(16208,16214) = 131398256

Least Common Multiple (LCM) of 16208 and 16214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16208 and 16214. First we will calculate the prime factors of 16208 and 16214.

Prime Factorization of 16208

Prime Factorization of 16214

Now multiplying the highest exponent prime factors to calculate the LCM of 16208 and 16214.

LCM(16208,16214) = 2⁴ × 1013¹ × 11² × 67¹
LCM(16208,16214) = 131398256