What is the Least Common Multiple of 11328 and 11343?

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 11343 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 11343, than apply into the LCM equation.

GCF(11328,11343) = 3
LCM(11328,11343) = ( 11328 × 11343) / 3
LCM(11328,11343) = 128493504 / 3
LCM(11328,11343) = 42831168

Least Common Multiple (LCM) of 11328 and 11343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11328 and 11343. First we will calculate the prime factors of 11328 and 11343.

Prime Factorization of 11328

Prime Factorization of 11343

Now multiplying the highest exponent prime factors to calculate the LCM of 11328 and 11343.

LCM(11328,11343) = 2⁶ × 3¹ × 59¹ × 19¹ × 199¹
LCM(11328,11343) = 42831168