What is the Least Common Multiple of 16192 and 16208?

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 16192 and 16208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16192 and 16208, than apply into the LCM equation.

GCF(16192,16208) = 16
LCM(16192,16208) = ( 16192 × 16208) / 16
LCM(16192,16208) = 262439936 / 16
LCM(16192,16208) = 16402496

Least Common Multiple (LCM) of 16192 and 16208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16192 and 16208. First we will calculate the prime factors of 16192 and 16208.

Prime Factorization of 16192

Prime Factorization of 16208

Now multiplying the highest exponent prime factors to calculate the LCM of 16192 and 16208.

LCM(16192,16208) = 2⁶ × 11¹ × 23¹ × 1013¹
LCM(16192,16208) = 16402496