What is the Least Common Multiple of 28848 and 28863?

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 28848 and 28863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28848 and 28863, than apply into the LCM equation.

GCF(28848,28863) = 3
LCM(28848,28863) = ( 28848 × 28863) / 3
LCM(28848,28863) = 832639824 / 3
LCM(28848,28863) = 277546608

Least Common Multiple (LCM) of 28848 and 28863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28848 and 28863. First we will calculate the prime factors of 28848 and 28863.

Prime Factorization of 28848

Prime Factorization of 28863

Now multiplying the highest exponent prime factors to calculate the LCM of 28848 and 28863.

LCM(28848,28863) = 2⁴ × 3³ × 601¹ × 1069¹
LCM(28848,28863) = 277546608