What is the Least Common Multiple of 12800 and 12818?

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 12818 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 12818, than apply into the LCM equation.

GCF(12800,12818) = 2
LCM(12800,12818) = ( 12800 × 12818) / 2
LCM(12800,12818) = 164070400 / 2
LCM(12800,12818) = 82035200

Least Common Multiple (LCM) of 12800 and 12818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12800 and 12818. First we will calculate the prime factors of 12800 and 12818.

Prime Factorization of 12800

Prime Factorization of 12818

Now multiplying the highest exponent prime factors to calculate the LCM of 12800 and 12818.

LCM(12800,12818) = 2⁹ × 5² × 13¹ × 17¹ × 29¹
LCM(12800,12818) = 82035200