What is the Least Common Multiple of 6800 and 6805?

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 6800 and 6805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6800 and 6805, than apply into the LCM equation.

GCF(6800,6805) = 5
LCM(6800,6805) = ( 6800 × 6805) / 5
LCM(6800,6805) = 46274000 / 5
LCM(6800,6805) = 9254800

Least Common Multiple (LCM) of 6800 and 6805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6800 and 6805. First we will calculate the prime factors of 6800 and 6805.

Prime Factorization of 6800

Prime Factorization of 6805

Now multiplying the highest exponent prime factors to calculate the LCM of 6800 and 6805.

LCM(6800,6805) = 2⁴ × 5² × 17¹ × 1361¹
LCM(6800,6805) = 9254800