What is the Least Common Multiple of 6805 and 6823?

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 6805 and 6823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6805 and 6823, than apply into the LCM equation.

GCF(6805,6823) = 1
LCM(6805,6823) = ( 6805 × 6823) / 1
LCM(6805,6823) = 46430515 / 1
LCM(6805,6823) = 46430515

Least Common Multiple (LCM) of 6805 and 6823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6805 and 6823. First we will calculate the prime factors of 6805 and 6823.

Prime Factorization of 6805

Prime Factorization of 6823

Now multiplying the highest exponent prime factors to calculate the LCM of 6805 and 6823.

LCM(6805,6823) = 5¹ × 1361¹ × 6823¹
LCM(6805,6823) = 46430515