What is the Least Common Multiple of 12816 and 12831?

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 12831 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 12831, than apply into the LCM equation.

GCF(12816,12831) = 3
LCM(12816,12831) = ( 12816 × 12831) / 3
LCM(12816,12831) = 164442096 / 3
LCM(12816,12831) = 54814032

Least Common Multiple (LCM) of 12816 and 12831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12816 and 12831. First we will calculate the prime factors of 12816 and 12831.

Prime Factorization of 12816

Prime Factorization of 12831

Now multiplying the highest exponent prime factors to calculate the LCM of 12816 and 12831.

LCM(12816,12831) = 2⁴ × 3² × 89¹ × 7¹ × 13¹ × 47¹
LCM(12816,12831) = 54814032