What is the Least Common Multiple of 15842 and 15848?

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 15842 and 15848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15842 and 15848, than apply into the LCM equation.

GCF(15842,15848) = 2
LCM(15842,15848) = ( 15842 × 15848) / 2
LCM(15842,15848) = 251064016 / 2
LCM(15842,15848) = 125532008

Least Common Multiple (LCM) of 15842 and 15848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15842 and 15848. First we will calculate the prime factors of 15842 and 15848.

Prime Factorization of 15842

Prime Factorization of 15848

Now multiplying the highest exponent prime factors to calculate the LCM of 15842 and 15848.

LCM(15842,15848) = 2³ × 89² × 7¹ × 283¹
LCM(15842,15848) = 125532008