What is the Least Common Multiple of 6816 and 6831?

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 6816 and 6831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6816 and 6831, than apply into the LCM equation.

GCF(6816,6831) = 3
LCM(6816,6831) = ( 6816 × 6831) / 3
LCM(6816,6831) = 46560096 / 3
LCM(6816,6831) = 15520032

Least Common Multiple (LCM) of 6816 and 6831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6816 and 6831. First we will calculate the prime factors of 6816 and 6831.

Prime Factorization of 6816

Prime Factorization of 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 6816 and 6831.

LCM(6816,6831) = 2⁵ × 3³ × 71¹ × 11¹ × 23¹
LCM(6816,6831) = 15520032