What is the Least Common Multiple of 55512 and 55520?

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 55520 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 55520, than apply into the LCM equation.

GCF(55512,55520) = 8
LCM(55512,55520) = ( 55512 × 55520) / 8
LCM(55512,55520) = 3082026240 / 8
LCM(55512,55520) = 385253280

Least Common Multiple (LCM) of 55512 and 55520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55512 and 55520. First we will calculate the prime factors of 55512 and 55520.

Prime Factorization of 55512

Prime Factorization of 55520

Now multiplying the highest exponent prime factors to calculate the LCM of 55512 and 55520.

LCM(55512,55520) = 2⁵ × 3³ × 257¹ × 5¹ × 347¹
LCM(55512,55520) = 385253280