What is the Least Common Multiple of 55872 and 55889?

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 55872 and 55889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55872 and 55889, than apply into the LCM equation.

GCF(55872,55889) = 1
LCM(55872,55889) = ( 55872 × 55889) / 1
LCM(55872,55889) = 3122630208 / 1
LCM(55872,55889) = 3122630208

Least Common Multiple (LCM) of 55872 and 55889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55872 and 55889. First we will calculate the prime factors of 55872 and 55889.

Prime Factorization of 55872

Prime Factorization of 55889

Now multiplying the highest exponent prime factors to calculate the LCM of 55872 and 55889.

LCM(55872,55889) = 2⁶ × 3² × 97¹ × 55889¹
LCM(55872,55889) = 3122630208