What is the Least Common Multiple of 11800 and 11805?

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 11800 and 11805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11800 and 11805, than apply into the LCM equation.

GCF(11800,11805) = 5
LCM(11800,11805) = ( 11800 × 11805) / 5
LCM(11800,11805) = 139299000 / 5
LCM(11800,11805) = 27859800

Least Common Multiple (LCM) of 11800 and 11805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11800 and 11805. First we will calculate the prime factors of 11800 and 11805.

Prime Factorization of 11800

Prime Factorization of 11805

Now multiplying the highest exponent prime factors to calculate the LCM of 11800 and 11805.

LCM(11800,11805) = 2³ × 5² × 59¹ × 3¹ × 787¹
LCM(11800,11805) = 27859800