What is the Least Common Multiple of 16096 and 16112?

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 16096 and 16112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16096 and 16112, than apply into the LCM equation.

GCF(16096,16112) = 16
LCM(16096,16112) = ( 16096 × 16112) / 16
LCM(16096,16112) = 259338752 / 16
LCM(16096,16112) = 16208672

Least Common Multiple (LCM) of 16096 and 16112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16096 and 16112. First we will calculate the prime factors of 16096 and 16112.

Prime Factorization of 16096

Prime Factorization of 16112

Now multiplying the highest exponent prime factors to calculate the LCM of 16096 and 16112.

LCM(16096,16112) = 2⁵ × 503¹ × 19¹ × 53¹
LCM(16096,16112) = 16208672