What is the Least Common Multiple of 28884 and 28899?

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 28884 and 28899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28884 and 28899, than apply into the LCM equation.

GCF(28884,28899) = 3
LCM(28884,28899) = ( 28884 × 28899) / 3
LCM(28884,28899) = 834718716 / 3
LCM(28884,28899) = 278239572

Least Common Multiple (LCM) of 28884 and 28899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28884 and 28899. First we will calculate the prime factors of 28884 and 28899.

Prime Factorization of 28884

Prime Factorization of 28899

Now multiplying the highest exponent prime factors to calculate the LCM of 28884 and 28899.

LCM(28884,28899) = 2² × 3² × 29¹ × 83¹ × 13² × 19¹
LCM(28884,28899) = 278239572