What is the Least Common Multiple of 11264 and 11282?

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 11282 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 11282, than apply into the LCM equation.

GCF(11264,11282) = 2
LCM(11264,11282) = ( 11264 × 11282) / 2
LCM(11264,11282) = 127080448 / 2
LCM(11264,11282) = 63540224

Least Common Multiple (LCM) of 11264 and 11282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11264 and 11282. First we will calculate the prime factors of 11264 and 11282.

Prime Factorization of 11264

Prime Factorization of 11282

Now multiplying the highest exponent prime factors to calculate the LCM of 11264 and 11282.

LCM(11264,11282) = 2¹⁰ × 11¹ × 5641¹
LCM(11264,11282) = 63540224