What is the Least Common Multiple of 12800 and 12805?

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 12800 and 12805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12800 and 12805, than apply into the LCM equation.

GCF(12800,12805) = 5
LCM(12800,12805) = ( 12800 × 12805) / 5
LCM(12800,12805) = 163904000 / 5
LCM(12800,12805) = 32780800

Least Common Multiple (LCM) of 12800 and 12805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12800 and 12805. First we will calculate the prime factors of 12800 and 12805.

Prime Factorization of 12800

Prime Factorization of 12805

Now multiplying the highest exponent prime factors to calculate the LCM of 12800 and 12805.

LCM(12800,12805) = 2⁹ × 5² × 13¹ × 197¹
LCM(12800,12805) = 32780800