What is the Least Common Multiple of 16256 and 16269?

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 16256 and 16269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16256 and 16269, than apply into the LCM equation.

GCF(16256,16269) = 1
LCM(16256,16269) = ( 16256 × 16269) / 1
LCM(16256,16269) = 264468864 / 1
LCM(16256,16269) = 264468864

Least Common Multiple (LCM) of 16256 and 16269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16256 and 16269. First we will calculate the prime factors of 16256 and 16269.

Prime Factorization of 16256

Prime Factorization of 16269

Now multiplying the highest exponent prime factors to calculate the LCM of 16256 and 16269.

LCM(16256,16269) = 2⁷ × 127¹ × 3¹ × 11¹ × 17¹ × 29¹
LCM(16256,16269) = 264468864