What is the Least Common Multiple of 28229 and 28241?

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 28241 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 28241, than apply into the LCM equation.

GCF(28229,28241) = 1
LCM(28229,28241) = ( 28229 × 28241) / 1
LCM(28229,28241) = 797215189 / 1
LCM(28229,28241) = 797215189

Least Common Multiple (LCM) of 28229 and 28241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28229 and 28241. First we will calculate the prime factors of 28229 and 28241.

Prime Factorization of 28229

Prime Factorization of 28241

Now multiplying the highest exponent prime factors to calculate the LCM of 28229 and 28241.

LCM(28229,28241) = 28229¹ × 31¹ × 911¹
LCM(28229,28241) = 797215189