What is the Least Common Multiple of 6508 and 6512?

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 6508 and 6512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6508 and 6512, than apply into the LCM equation.

GCF(6508,6512) = 4
LCM(6508,6512) = ( 6508 × 6512) / 4
LCM(6508,6512) = 42380096 / 4
LCM(6508,6512) = 10595024

Least Common Multiple (LCM) of 6508 and 6512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6508 and 6512. First we will calculate the prime factors of 6508 and 6512.

Prime Factorization of 6508

Prime Factorization of 6512

Now multiplying the highest exponent prime factors to calculate the LCM of 6508 and 6512.

LCM(6508,6512) = 2⁴ × 1627¹ × 11¹ × 37¹
LCM(6508,6512) = 10595024