What is the Least Common Multiple of 11088 and 11104?

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 11088 and 11104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11088 and 11104, than apply into the LCM equation.

GCF(11088,11104) = 16
LCM(11088,11104) = ( 11088 × 11104) / 16
LCM(11088,11104) = 123121152 / 16
LCM(11088,11104) = 7695072

Least Common Multiple (LCM) of 11088 and 11104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11088 and 11104. First we will calculate the prime factors of 11088 and 11104.

Prime Factorization of 11088

Prime Factorization of 11104

Now multiplying the highest exponent prime factors to calculate the LCM of 11088 and 11104.

LCM(11088,11104) = 2⁵ × 3² × 7¹ × 11¹ × 347¹
LCM(11088,11104) = 7695072