What is the Least Common Multiple of 11264 and 11281?

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 11264 and 11281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11264 and 11281, than apply into the LCM equation.

GCF(11264,11281) = 1
LCM(11264,11281) = ( 11264 × 11281) / 1
LCM(11264,11281) = 127069184 / 1
LCM(11264,11281) = 127069184

Least Common Multiple (LCM) of 11264 and 11281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11264 and 11281. First we will calculate the prime factors of 11264 and 11281.

Prime Factorization of 11264

Prime Factorization of 11281

Now multiplying the highest exponent prime factors to calculate the LCM of 11264 and 11281.

LCM(11264,11281) = 2¹⁰ × 11¹ × 29¹ × 389¹
LCM(11264,11281) = 127069184