What is the Least Common Multiple of 28869 and 28887?

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 28869 and 28887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28869 and 28887, than apply into the LCM equation.

GCF(28869,28887) = 3
LCM(28869,28887) = ( 28869 × 28887) / 3
LCM(28869,28887) = 833938803 / 3
LCM(28869,28887) = 277979601

Least Common Multiple (LCM) of 28869 and 28887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28869 and 28887. First we will calculate the prime factors of 28869 and 28887.

Prime Factorization of 28869

Prime Factorization of 28887

Now multiplying the highest exponent prime factors to calculate the LCM of 28869 and 28887.

LCM(28869,28887) = 3¹ × 9623¹ × 9629¹
LCM(28869,28887) = 277979601