What is the Least Common Multiple of 28869 and 28884?

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 28884 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 28884, than apply into the LCM equation.

GCF(28869,28884) = 3
LCM(28869,28884) = ( 28869 × 28884) / 3
LCM(28869,28884) = 833852196 / 3
LCM(28869,28884) = 277950732

Least Common Multiple (LCM) of 28869 and 28884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28869 and 28884. First we will calculate the prime factors of 28869 and 28884.

Prime Factorization of 28869

Prime Factorization of 28884

Now multiplying the highest exponent prime factors to calculate the LCM of 28869 and 28884.

LCM(28869,28884) = 3¹ × 9623¹ × 2² × 29¹ × 83¹
LCM(28869,28884) = 277950732