What is the Least Common Multiple of 15844 and 15849?

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 15844 and 15849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15844 and 15849, than apply into the LCM equation.

GCF(15844,15849) = 1
LCM(15844,15849) = ( 15844 × 15849) / 1
LCM(15844,15849) = 251111556 / 1
LCM(15844,15849) = 251111556

Least Common Multiple (LCM) of 15844 and 15849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15844 and 15849. First we will calculate the prime factors of 15844 and 15849.

Prime Factorization of 15844

Prime Factorization of 15849

Now multiplying the highest exponent prime factors to calculate the LCM of 15844 and 15849.

LCM(15844,15849) = 2² × 17¹ × 233¹ × 3³ × 587¹
LCM(15844,15849) = 251111556