What is the Least Common Multiple of 55500 and 55512?

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 55500 and 55512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55500 and 55512, than apply into the LCM equation.

GCF(55500,55512) = 12
LCM(55500,55512) = ( 55500 × 55512) / 12
LCM(55500,55512) = 3080916000 / 12
LCM(55500,55512) = 256743000

Least Common Multiple (LCM) of 55500 and 55512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55500 and 55512. First we will calculate the prime factors of 55500 and 55512.

Prime Factorization of 55500

Prime Factorization of 55512

Now multiplying the highest exponent prime factors to calculate the LCM of 55500 and 55512.

LCM(55500,55512) = 2³ × 3³ × 5³ × 37¹ × 257¹
LCM(55500,55512) = 256743000