What is the Least Common Multiple of 6512 and 6529?

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 6512 and 6529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6512 and 6529, than apply into the LCM equation.

GCF(6512,6529) = 1
LCM(6512,6529) = ( 6512 × 6529) / 1
LCM(6512,6529) = 42516848 / 1
LCM(6512,6529) = 42516848

Least Common Multiple (LCM) of 6512 and 6529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6512 and 6529. First we will calculate the prime factors of 6512 and 6529.

Prime Factorization of 6512

Prime Factorization of 6529

Now multiplying the highest exponent prime factors to calculate the LCM of 6512 and 6529.

LCM(6512,6529) = 2⁴ × 11¹ × 37¹ × 6529¹
LCM(6512,6529) = 42516848