What is the Least Common Multiple of 12816 and 12832?

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 12816 and 12832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12816 and 12832, than apply into the LCM equation.

GCF(12816,12832) = 16
LCM(12816,12832) = ( 12816 × 12832) / 16
LCM(12816,12832) = 164454912 / 16
LCM(12816,12832) = 10278432

Least Common Multiple (LCM) of 12816 and 12832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12816 and 12832. First we will calculate the prime factors of 12816 and 12832.

Prime Factorization of 12816

Prime Factorization of 12832

Now multiplying the highest exponent prime factors to calculate the LCM of 12816 and 12832.

LCM(12816,12832) = 2⁵ × 3² × 89¹ × 401¹
LCM(12816,12832) = 10278432