What is the Least Common Multiple of 55512 and 55531?

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 55512 and 55531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55512 and 55531, than apply into the LCM equation.

GCF(55512,55531) = 1
LCM(55512,55531) = ( 55512 × 55531) / 1
LCM(55512,55531) = 3082636872 / 1
LCM(55512,55531) = 3082636872

Least Common Multiple (LCM) of 55512 and 55531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55512 and 55531. First we will calculate the prime factors of 55512 and 55531.

Prime Factorization of 55512

Prime Factorization of 55531

Now multiplying the highest exponent prime factors to calculate the LCM of 55512 and 55531.

LCM(55512,55531) = 2³ × 3³ × 257¹ × 7¹ × 7933¹
LCM(55512,55531) = 3082636872