What is the Least Common Multiple of 11264 and 11275?

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 11275 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 11275, than apply into the LCM equation.

GCF(11264,11275) = 11
LCM(11264,11275) = ( 11264 × 11275) / 11
LCM(11264,11275) = 127001600 / 11
LCM(11264,11275) = 11545600

Least Common Multiple (LCM) of 11264 and 11275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11264 and 11275. First we will calculate the prime factors of 11264 and 11275.

Prime Factorization of 11264

Prime Factorization of 11275

Now multiplying the highest exponent prime factors to calculate the LCM of 11264 and 11275.

LCM(11264,11275) = 2¹⁰ × 11¹ × 5² × 41¹
LCM(11264,11275) = 11545600