What is the Least Common Multiple of 12800 and 12816?

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 12816 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 12816, than apply into the LCM equation.

GCF(12800,12816) = 16
LCM(12800,12816) = ( 12800 × 12816) / 16
LCM(12800,12816) = 164044800 / 16
LCM(12800,12816) = 10252800

Least Common Multiple (LCM) of 12800 and 12816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12800 and 12816. First we will calculate the prime factors of 12800 and 12816.

Prime Factorization of 12800

Prime Factorization of 12816

Now multiplying the highest exponent prime factors to calculate the LCM of 12800 and 12816.

LCM(12800,12816) = 2⁹ × 5² × 3² × 89¹
LCM(12800,12816) = 10252800