What is the Least Common Multiple of 15845 and 15865?

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 15845 and 15865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15845 and 15865, than apply into the LCM equation.

GCF(15845,15865) = 5
LCM(15845,15865) = ( 15845 × 15865) / 5
LCM(15845,15865) = 251380925 / 5
LCM(15845,15865) = 50276185

Least Common Multiple (LCM) of 15845 and 15865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15845 and 15865. First we will calculate the prime factors of 15845 and 15865.

Prime Factorization of 15845

Prime Factorization of 15865

Now multiplying the highest exponent prime factors to calculate the LCM of 15845 and 15865.

LCM(15845,15865) = 5¹ × 3169¹ × 19¹ × 167¹
LCM(15845,15865) = 50276185