What is the Least Common Multiple of 11328 and 11341?

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 11341 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 11341, than apply into the LCM equation.

GCF(11328,11341) = 1
LCM(11328,11341) = ( 11328 × 11341) / 1
LCM(11328,11341) = 128470848 / 1
LCM(11328,11341) = 128470848

Least Common Multiple (LCM) of 11328 and 11341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11328 and 11341. First we will calculate the prime factors of 11328 and 11341.

Prime Factorization of 11328

Prime Factorization of 11341

Now multiplying the highest exponent prime factors to calculate the LCM of 11328 and 11341.

LCM(11328,11341) = 2⁶ × 3¹ × 59¹ × 11¹ × 1031¹
LCM(11328,11341) = 128470848