What is the Least Common Multiple of 28209 and 28224?

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 28209 and 28224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28209 and 28224, than apply into the LCM equation.

GCF(28209,28224) = 3
LCM(28209,28224) = ( 28209 × 28224) / 3
LCM(28209,28224) = 796170816 / 3
LCM(28209,28224) = 265390272

Least Common Multiple (LCM) of 28209 and 28224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28209 and 28224. First we will calculate the prime factors of 28209 and 28224.

Prime Factorization of 28209

Prime Factorization of 28224

Now multiplying the highest exponent prime factors to calculate the LCM of 28209 and 28224.

LCM(28209,28224) = 3² × 9403¹ × 2⁶ × 7²
LCM(28209,28224) = 265390272