What is the Least Common Multiple of 15792 and 15806?

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 15792 and 15806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15792 and 15806, than apply into the LCM equation.

GCF(15792,15806) = 14
LCM(15792,15806) = ( 15792 × 15806) / 14
LCM(15792,15806) = 249608352 / 14
LCM(15792,15806) = 17829168

Least Common Multiple (LCM) of 15792 and 15806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15792 and 15806. First we will calculate the prime factors of 15792 and 15806.

Prime Factorization of 15792

Prime Factorization of 15806

Now multiplying the highest exponent prime factors to calculate the LCM of 15792 and 15806.

LCM(15792,15806) = 2⁴ × 3¹ × 7¹ × 47¹ × 1129¹
LCM(15792,15806) = 17829168