What is the Least Common Multiple of 11328 and 11338?

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 11328 and 11338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11328 and 11338, than apply into the LCM equation.

GCF(11328,11338) = 2
LCM(11328,11338) = ( 11328 × 11338) / 2
LCM(11328,11338) = 128436864 / 2
LCM(11328,11338) = 64218432

Least Common Multiple (LCM) of 11328 and 11338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11328 and 11338. First we will calculate the prime factors of 11328 and 11338.

Prime Factorization of 11328

Prime Factorization of 11338

Now multiplying the highest exponent prime factors to calculate the LCM of 11328 and 11338.

LCM(11328,11338) = 2⁶ × 3¹ × 59¹ × 5669¹
LCM(11328,11338) = 64218432