What is the Least Common Multiple of 55848 and 55860?

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 55848 and 55860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55848 and 55860, than apply into the LCM equation.

GCF(55848,55860) = 12
LCM(55848,55860) = ( 55848 × 55860) / 12
LCM(55848,55860) = 3119669280 / 12
LCM(55848,55860) = 259972440

Least Common Multiple (LCM) of 55848 and 55860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55848 and 55860. First we will calculate the prime factors of 55848 and 55860.

Prime Factorization of 55848

Prime Factorization of 55860

Now multiplying the highest exponent prime factors to calculate the LCM of 55848 and 55860.

LCM(55848,55860) = 2³ × 3¹ × 13¹ × 179¹ × 5¹ × 7² × 19¹
LCM(55848,55860) = 259972440