What is the Least Common Multiple of 5800 and 5819?

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 5800 and 5819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5800 and 5819, than apply into the LCM equation.

GCF(5800,5819) = 1
LCM(5800,5819) = ( 5800 × 5819) / 1
LCM(5800,5819) = 33750200 / 1
LCM(5800,5819) = 33750200

Least Common Multiple (LCM) of 5800 and 5819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5800 and 5819. First we will calculate the prime factors of 5800 and 5819.

Prime Factorization of 5800

Prime Factorization of 5819

Now multiplying the highest exponent prime factors to calculate the LCM of 5800 and 5819.

LCM(5800,5819) = 2³ × 5² × 29¹ × 11¹ × 23²
LCM(5800,5819) = 33750200