What is the Least Common Multiple of 55800 and 55806?

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 55806 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 55806, than apply into the LCM equation.

GCF(55800,55806) = 6
LCM(55800,55806) = ( 55800 × 55806) / 6
LCM(55800,55806) = 3113974800 / 6
LCM(55800,55806) = 518995800

Least Common Multiple (LCM) of 55800 and 55806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55800 and 55806. First we will calculate the prime factors of 55800 and 55806.

Prime Factorization of 55800

Prime Factorization of 55806

Now multiplying the highest exponent prime factors to calculate the LCM of 55800 and 55806.

LCM(55800,55806) = 2³ × 3² × 5² × 31¹ × 71¹ × 131¹
LCM(55800,55806) = 518995800