What is the Least Common Multiple of 11314 and 11328?

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 11314 and 11328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11314 and 11328, than apply into the LCM equation.

GCF(11314,11328) = 2
LCM(11314,11328) = ( 11314 × 11328) / 2
LCM(11314,11328) = 128164992 / 2
LCM(11314,11328) = 64082496

Least Common Multiple (LCM) of 11314 and 11328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11314 and 11328. First we will calculate the prime factors of 11314 and 11328.

Prime Factorization of 11314

Prime Factorization of 11328

Now multiplying the highest exponent prime factors to calculate the LCM of 11314 and 11328.

LCM(11314,11328) = 2⁶ × 5657¹ × 3¹ × 59¹
LCM(11314,11328) = 64082496