What is the Least Common Multiple of 6560 and 6578?

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 6560 and 6578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6560 and 6578, than apply into the LCM equation.

GCF(6560,6578) = 2
LCM(6560,6578) = ( 6560 × 6578) / 2
LCM(6560,6578) = 43151680 / 2
LCM(6560,6578) = 21575840

Least Common Multiple (LCM) of 6560 and 6578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6560 and 6578. First we will calculate the prime factors of 6560 and 6578.

Prime Factorization of 6560

Prime Factorization of 6578

Now multiplying the highest exponent prime factors to calculate the LCM of 6560 and 6578.

LCM(6560,6578) = 2⁵ × 5¹ × 41¹ × 11¹ × 13¹ × 23¹
LCM(6560,6578) = 21575840