What is the Least Common Multiple of 15882 and 15890?

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 15890 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 15890, than apply into the LCM equation.

GCF(15882,15890) = 2
LCM(15882,15890) = ( 15882 × 15890) / 2
LCM(15882,15890) = 252364980 / 2
LCM(15882,15890) = 126182490

Least Common Multiple (LCM) of 15882 and 15890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15882 and 15890. First we will calculate the prime factors of 15882 and 15890.

Prime Factorization of 15882

Prime Factorization of 15890

Now multiplying the highest exponent prime factors to calculate the LCM of 15882 and 15890.

LCM(15882,15890) = 2¹ × 3¹ × 2647¹ × 5¹ × 7¹ × 227¹
LCM(15882,15890) = 126182490