What is the Least Common Multiple of 14816 and 14832?

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 14816 and 14832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14816 and 14832, than apply into the LCM equation.

GCF(14816,14832) = 16
LCM(14816,14832) = ( 14816 × 14832) / 16
LCM(14816,14832) = 219750912 / 16
LCM(14816,14832) = 13734432

Least Common Multiple (LCM) of 14816 and 14832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14816 and 14832. First we will calculate the prime factors of 14816 and 14832.

Prime Factorization of 14816

Prime Factorization of 14832

Now multiplying the highest exponent prime factors to calculate the LCM of 14816 and 14832.

LCM(14816,14832) = 2⁵ × 463¹ × 3² × 103¹
LCM(14816,14832) = 13734432