What is the Least Common Multiple of 11292 and 11296?

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 11292 and 11296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11292 and 11296, than apply into the LCM equation.

GCF(11292,11296) = 4
LCM(11292,11296) = ( 11292 × 11296) / 4
LCM(11292,11296) = 127554432 / 4
LCM(11292,11296) = 31888608

Least Common Multiple (LCM) of 11292 and 11296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11292 and 11296. First we will calculate the prime factors of 11292 and 11296.

Prime Factorization of 11292

Prime Factorization of 11296

Now multiplying the highest exponent prime factors to calculate the LCM of 11292 and 11296.

LCM(11292,11296) = 2⁵ × 3¹ × 941¹ × 353¹
LCM(11292,11296) = 31888608