What is the Least Common Multiple of 55800 and 55812?

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 55812 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 55812, than apply into the LCM equation.

GCF(55800,55812) = 12
LCM(55800,55812) = ( 55800 × 55812) / 12
LCM(55800,55812) = 3114309600 / 12
LCM(55800,55812) = 259525800

Least Common Multiple (LCM) of 55800 and 55812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55800 and 55812. First we will calculate the prime factors of 55800 and 55812.

Prime Factorization of 55800

Prime Factorization of 55812

Now multiplying the highest exponent prime factors to calculate the LCM of 55800 and 55812.

LCM(55800,55812) = 2³ × 3² × 5² × 31¹ × 4651¹
LCM(55800,55812) = 259525800