What is the Least Common Multiple of 28229 and 28243?

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 28229 and 28243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28229 and 28243, than apply into the LCM equation.

GCF(28229,28243) = 1
LCM(28229,28243) = ( 28229 × 28243) / 1
LCM(28229,28243) = 797271647 / 1
LCM(28229,28243) = 797271647

Least Common Multiple (LCM) of 28229 and 28243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28229 and 28243. First we will calculate the prime factors of 28229 and 28243.

Prime Factorization of 28229

Prime Factorization of 28243

Now multiplying the highest exponent prime factors to calculate the LCM of 28229 and 28243.

LCM(28229,28243) = 28229¹ × 61¹ × 463¹
LCM(28229,28243) = 797271647