What is the Least Common Multiple of 6496 and 6508?

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 6496 and 6508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6496 and 6508, than apply into the LCM equation.

GCF(6496,6508) = 4
LCM(6496,6508) = ( 6496 × 6508) / 4
LCM(6496,6508) = 42275968 / 4
LCM(6496,6508) = 10568992

Least Common Multiple (LCM) of 6496 and 6508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6496 and 6508. First we will calculate the prime factors of 6496 and 6508.

Prime Factorization of 6496

Prime Factorization of 6508

Now multiplying the highest exponent prime factors to calculate the LCM of 6496 and 6508.

LCM(6496,6508) = 2⁵ × 7¹ × 29¹ × 1627¹
LCM(6496,6508) = 10568992