What is the Least Common Multiple of 8229 and 8241?

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 8229 and 8241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8229 and 8241, than apply into the LCM equation.

GCF(8229,8241) = 3
LCM(8229,8241) = ( 8229 × 8241) / 3
LCM(8229,8241) = 67815189 / 3
LCM(8229,8241) = 22605063

Least Common Multiple (LCM) of 8229 and 8241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8229 and 8241. First we will calculate the prime factors of 8229 and 8241.

Prime Factorization of 8229

Prime Factorization of 8241

Now multiplying the highest exponent prime factors to calculate the LCM of 8229 and 8241.

LCM(8229,8241) = 3¹ × 13¹ × 211¹ × 41¹ × 67¹
LCM(8229,8241) = 22605063