What is the Least Common Multiple of 15804 and 15815?

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 15804 and 15815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15804 and 15815, than apply into the LCM equation.

GCF(15804,15815) = 1
LCM(15804,15815) = ( 15804 × 15815) / 1
LCM(15804,15815) = 249940260 / 1
LCM(15804,15815) = 249940260

Least Common Multiple (LCM) of 15804 and 15815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15804 and 15815. First we will calculate the prime factors of 15804 and 15815.

Prime Factorization of 15804

Prime Factorization of 15815

Now multiplying the highest exponent prime factors to calculate the LCM of 15804 and 15815.

LCM(15804,15815) = 2² × 3² × 439¹ × 5¹ × 3163¹
LCM(15804,15815) = 249940260