What is the Least Common Multiple of 55788 and 55800?

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 55788 and 55800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55788 and 55800, than apply into the LCM equation.

GCF(55788,55800) = 12
LCM(55788,55800) = ( 55788 × 55800) / 12
LCM(55788,55800) = 3112970400 / 12
LCM(55788,55800) = 259414200

Least Common Multiple (LCM) of 55788 and 55800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55788 and 55800. First we will calculate the prime factors of 55788 and 55800.

Prime Factorization of 55788

Prime Factorization of 55800

Now multiplying the highest exponent prime factors to calculate the LCM of 55788 and 55800.

LCM(55788,55800) = 2³ × 3² × 4649¹ × 5² × 31¹
LCM(55788,55800) = 259414200