What is the Least Common Multiple of 6512 and 6532?

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 6532 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 6532, than apply into the LCM equation.

GCF(6512,6532) = 4
LCM(6512,6532) = ( 6512 × 6532) / 4
LCM(6512,6532) = 42536384 / 4
LCM(6512,6532) = 10634096

Least Common Multiple (LCM) of 6512 and 6532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6512 and 6532. First we will calculate the prime factors of 6512 and 6532.

Prime Factorization of 6512

Prime Factorization of 6532

Now multiplying the highest exponent prime factors to calculate the LCM of 6512 and 6532.

LCM(6512,6532) = 2⁴ × 11¹ × 37¹ × 23¹ × 71¹
LCM(6512,6532) = 10634096