What is the Least Common Multiple of 15814 and 15826?

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 15814 and 15826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15814 and 15826, than apply into the LCM equation.

GCF(15814,15826) = 2
LCM(15814,15826) = ( 15814 × 15826) / 2
LCM(15814,15826) = 250272364 / 2
LCM(15814,15826) = 125136182

Least Common Multiple (LCM) of 15814 and 15826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15814 and 15826. First we will calculate the prime factors of 15814 and 15826.

Prime Factorization of 15814

Prime Factorization of 15826

Now multiplying the highest exponent prime factors to calculate the LCM of 15814 and 15826.

LCM(15814,15826) = 2¹ × 7907¹ × 41¹ × 193¹
LCM(15814,15826) = 125136182