What is the Least Common Multiple of 55512 and 55530?

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 55530 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 55530, than apply into the LCM equation.

GCF(55512,55530) = 18
LCM(55512,55530) = ( 55512 × 55530) / 18
LCM(55512,55530) = 3082581360 / 18
LCM(55512,55530) = 171254520

Least Common Multiple (LCM) of 55512 and 55530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55512 and 55530. First we will calculate the prime factors of 55512 and 55530.

Prime Factorization of 55512

Prime Factorization of 55530

Now multiplying the highest exponent prime factors to calculate the LCM of 55512 and 55530.

LCM(55512,55530) = 2³ × 3³ × 257¹ × 5¹ × 617¹
LCM(55512,55530) = 171254520