What is the Least Common Multiple of 11252 and 11264?

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 11252 and 11264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11252 and 11264, than apply into the LCM equation.

GCF(11252,11264) = 4
LCM(11252,11264) = ( 11252 × 11264) / 4
LCM(11252,11264) = 126742528 / 4
LCM(11252,11264) = 31685632

Least Common Multiple (LCM) of 11252 and 11264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11252 and 11264. First we will calculate the prime factors of 11252 and 11264.

Prime Factorization of 11252

Prime Factorization of 11264

Now multiplying the highest exponent prime factors to calculate the LCM of 11252 and 11264.

LCM(11252,11264) = 2¹⁰ × 29¹ × 97¹ × 11¹
LCM(11252,11264) = 31685632