What is the Least Common Multiple of 10404 and 10421?

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 10404 and 10421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10404 and 10421, than apply into the LCM equation.

GCF(10404,10421) = 17
LCM(10404,10421) = ( 10404 × 10421) / 17
LCM(10404,10421) = 108420084 / 17
LCM(10404,10421) = 6377652

Least Common Multiple (LCM) of 10404 and 10421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10404 and 10421. First we will calculate the prime factors of 10404 and 10421.

Prime Factorization of 10404

Prime Factorization of 10421

Now multiplying the highest exponent prime factors to calculate the LCM of 10404 and 10421.

LCM(10404,10421) = 2² × 3² × 17² × 613¹
LCM(10404,10421) = 6377652