What is the Least Common Multiple of 16096 and 16113?

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 16113 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 16113, than apply into the LCM equation.

GCF(16096,16113) = 1
LCM(16096,16113) = ( 16096 × 16113) / 1
LCM(16096,16113) = 259354848 / 1
LCM(16096,16113) = 259354848

Least Common Multiple (LCM) of 16096 and 16113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16096 and 16113. First we will calculate the prime factors of 16096 and 16113.

Prime Factorization of 16096

Prime Factorization of 16113

Now multiplying the highest exponent prime factors to calculate the LCM of 16096 and 16113.

LCM(16096,16113) = 2⁵ × 503¹ × 3¹ × 41¹ × 131¹
LCM(16096,16113) = 259354848