What is the Least Common Multiple of 55512 and 55524?

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 55524 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 55524, than apply into the LCM equation.

GCF(55512,55524) = 12
LCM(55512,55524) = ( 55512 × 55524) / 12
LCM(55512,55524) = 3082248288 / 12
LCM(55512,55524) = 256854024

Least Common Multiple (LCM) of 55512 and 55524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55512 and 55524. First we will calculate the prime factors of 55512 and 55524.

Prime Factorization of 55512

Prime Factorization of 55524

Now multiplying the highest exponent prime factors to calculate the LCM of 55512 and 55524.

LCM(55512,55524) = 2³ × 3³ × 257¹ × 7¹ × 661¹
LCM(55512,55524) = 256854024