What is the Least Common Multiple of 15849 and 15867?

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 15849 and 15867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15849 and 15867, than apply into the LCM equation.

GCF(15849,15867) = 9
LCM(15849,15867) = ( 15849 × 15867) / 9
LCM(15849,15867) = 251476083 / 9
LCM(15849,15867) = 27941787

Least Common Multiple (LCM) of 15849 and 15867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15849 and 15867. First we will calculate the prime factors of 15849 and 15867.

Prime Factorization of 15849

Prime Factorization of 15867

Now multiplying the highest exponent prime factors to calculate the LCM of 15849 and 15867.

LCM(15849,15867) = 3³ × 587¹ × 41¹ × 43¹
LCM(15849,15867) = 27941787