What is the Least Common Multiple of 10404 and 10415?

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 10415 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 10415, than apply into the LCM equation.

GCF(10404,10415) = 1
LCM(10404,10415) = ( 10404 × 10415) / 1
LCM(10404,10415) = 108357660 / 1
LCM(10404,10415) = 108357660

Least Common Multiple (LCM) of 10404 and 10415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10404 and 10415. First we will calculate the prime factors of 10404 and 10415.

Prime Factorization of 10404

Prime Factorization of 10415

Now multiplying the highest exponent prime factors to calculate the LCM of 10404 and 10415.

LCM(10404,10415) = 2² × 3² × 17² × 5¹ × 2083¹
LCM(10404,10415) = 108357660