What is the Least Common Multiple of 11264 and 11284?

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 11284 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 11284, than apply into the LCM equation.

GCF(11264,11284) = 4
LCM(11264,11284) = ( 11264 × 11284) / 4
LCM(11264,11284) = 127102976 / 4
LCM(11264,11284) = 31775744

Least Common Multiple (LCM) of 11264 and 11284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11264 and 11284. First we will calculate the prime factors of 11264 and 11284.

Prime Factorization of 11264

Prime Factorization of 11284

Now multiplying the highest exponent prime factors to calculate the LCM of 11264 and 11284.

LCM(11264,11284) = 2¹⁰ × 11¹ × 7¹ × 13¹ × 31¹
LCM(11264,11284) = 31775744