What is the Least Common Multiple of 8409 and 8421?

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 8409 and 8421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8409 and 8421, than apply into the LCM equation.

GCF(8409,8421) = 3
LCM(8409,8421) = ( 8409 × 8421) / 3
LCM(8409,8421) = 70812189 / 3
LCM(8409,8421) = 23604063

Least Common Multiple (LCM) of 8409 and 8421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8409 and 8421. First we will calculate the prime factors of 8409 and 8421.

Prime Factorization of 8409

Prime Factorization of 8421

Now multiplying the highest exponent prime factors to calculate the LCM of 8409 and 8421.

LCM(8409,8421) = 3¹ × 2803¹ × 7¹ × 401¹
LCM(8409,8421) = 23604063