What is the Least Common Multiple of 8427 and 8441?

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 8427 and 8441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8427 and 8441, than apply into the LCM equation.

GCF(8427,8441) = 1
LCM(8427,8441) = ( 8427 × 8441) / 1
LCM(8427,8441) = 71132307 / 1
LCM(8427,8441) = 71132307

Least Common Multiple (LCM) of 8427 and 8441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8427 and 8441. First we will calculate the prime factors of 8427 and 8441.

Prime Factorization of 8427

Prime Factorization of 8441

Now multiplying the highest exponent prime factors to calculate the LCM of 8427 and 8441.

LCM(8427,8441) = 3¹ × 53² × 23¹ × 367¹
LCM(8427,8441) = 71132307