What is the Least Common Multiple of 11264 and 11279?

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 11279 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 11279, than apply into the LCM equation.

GCF(11264,11279) = 1
LCM(11264,11279) = ( 11264 × 11279) / 1
LCM(11264,11279) = 127046656 / 1
LCM(11264,11279) = 127046656

Least Common Multiple (LCM) of 11264 and 11279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11264 and 11279. First we will calculate the prime factors of 11264 and 11279.

Prime Factorization of 11264

Prime Factorization of 11279

Now multiplying the highest exponent prime factors to calculate the LCM of 11264 and 11279.

LCM(11264,11279) = 2¹⁰ × 11¹ × 11279¹
LCM(11264,11279) = 127046656