What is the Least Common Multiple of 55800 and 55819?

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 55800 and 55819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55800 and 55819, than apply into the LCM equation.

GCF(55800,55819) = 1
LCM(55800,55819) = ( 55800 × 55819) / 1
LCM(55800,55819) = 3114700200 / 1
LCM(55800,55819) = 3114700200

Least Common Multiple (LCM) of 55800 and 55819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55800 and 55819. First we will calculate the prime factors of 55800 and 55819.

Prime Factorization of 55800

Prime Factorization of 55819

Now multiplying the highest exponent prime factors to calculate the LCM of 55800 and 55819.

LCM(55800,55819) = 2³ × 3² × 5² × 31¹ × 55819¹
LCM(55800,55819) = 3114700200