What is the Least Common Multiple of 18800 and 18819?

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 18800 and 18819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18800 and 18819, than apply into the LCM equation.

GCF(18800,18819) = 1
LCM(18800,18819) = ( 18800 × 18819) / 1
LCM(18800,18819) = 353797200 / 1
LCM(18800,18819) = 353797200

Least Common Multiple (LCM) of 18800 and 18819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18800 and 18819. First we will calculate the prime factors of 18800 and 18819.

Prime Factorization of 18800

Prime Factorization of 18819

Now multiplying the highest exponent prime factors to calculate the LCM of 18800 and 18819.

LCM(18800,18819) = 2⁴ × 5² × 47¹ × 3³ × 17¹ × 41¹
LCM(18800,18819) = 353797200