What is the Least Common Multiple of 6543 and 6561?

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 6543 and 6561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6543 and 6561, than apply into the LCM equation.

GCF(6543,6561) = 9
LCM(6543,6561) = ( 6543 × 6561) / 9
LCM(6543,6561) = 42928623 / 9
LCM(6543,6561) = 4769847

Least Common Multiple (LCM) of 6543 and 6561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6543 and 6561. First we will calculate the prime factors of 6543 and 6561.

Prime Factorization of 6543

Prime Factorization of 6561

Now multiplying the highest exponent prime factors to calculate the LCM of 6543 and 6561.

LCM(6543,6561) = 3⁸ × 727¹
LCM(6543,6561) = 4769847