What is the Least Common Multiple of 15882 and 15894?

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 15882 and 15894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15882 and 15894, than apply into the LCM equation.

GCF(15882,15894) = 6
LCM(15882,15894) = ( 15882 × 15894) / 6
LCM(15882,15894) = 252428508 / 6
LCM(15882,15894) = 42071418

Least Common Multiple (LCM) of 15882 and 15894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15882 and 15894. First we will calculate the prime factors of 15882 and 15894.

Prime Factorization of 15882

Prime Factorization of 15894

Now multiplying the highest exponent prime factors to calculate the LCM of 15882 and 15894.

LCM(15882,15894) = 2¹ × 3² × 2647¹ × 883¹
LCM(15882,15894) = 42071418