What is the Least Common Multiple of 6561 and 6574?

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 6561 and 6574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6561 and 6574, than apply into the LCM equation.

GCF(6561,6574) = 1
LCM(6561,6574) = ( 6561 × 6574) / 1
LCM(6561,6574) = 43132014 / 1
LCM(6561,6574) = 43132014

Least Common Multiple (LCM) of 6561 and 6574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6561 and 6574. First we will calculate the prime factors of 6561 and 6574.

Prime Factorization of 6561

Prime Factorization of 6574

Now multiplying the highest exponent prime factors to calculate the LCM of 6561 and 6574.

LCM(6561,6574) = 3⁸ × 2¹ × 19¹ × 173¹
LCM(6561,6574) = 43132014