What is the Least Common Multiple of 28216 and 28229?

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 28216 and 28229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28216 and 28229, than apply into the LCM equation.

GCF(28216,28229) = 1
LCM(28216,28229) = ( 28216 × 28229) / 1
LCM(28216,28229) = 796509464 / 1
LCM(28216,28229) = 796509464

Least Common Multiple (LCM) of 28216 and 28229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28216 and 28229. First we will calculate the prime factors of 28216 and 28229.

Prime Factorization of 28216

Prime Factorization of 28229

Now multiplying the highest exponent prime factors to calculate the LCM of 28216 and 28229.

LCM(28216,28229) = 2³ × 3527¹ × 28229¹
LCM(28216,28229) = 796509464