What is the Least Common Multiple of 15846 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 15846 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 15846 and 15865, than apply into the LCM equation.

GCF(15846,15865) = 19
LCM(15846,15865) = ( 15846 × 15865) / 19
LCM(15846,15865) = 251396790 / 19
LCM(15846,15865) = 13231410

Least Common Multiple (LCM) of 15846 and 15865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15846 and 15865. First we will calculate the prime factors of 15846 and 15865.

Prime Factorization of 15846

Prime Factorization of 15865

Now multiplying the highest exponent prime factors to calculate the LCM of 15846 and 15865.

LCM(15846,15865) = 2¹ × 3¹ × 19¹ × 139¹ × 5¹ × 167¹
LCM(15846,15865) = 13231410