What is the Least Common Multiple of 15792 and 15805?

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 15805 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 15805, than apply into the LCM equation.

GCF(15792,15805) = 1
LCM(15792,15805) = ( 15792 × 15805) / 1
LCM(15792,15805) = 249592560 / 1
LCM(15792,15805) = 249592560

Least Common Multiple (LCM) of 15792 and 15805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15792 and 15805. First we will calculate the prime factors of 15792 and 15805.

Prime Factorization of 15792

Prime Factorization of 15805

Now multiplying the highest exponent prime factors to calculate the LCM of 15792 and 15805.

LCM(15792,15805) = 2⁴ × 3¹ × 7¹ × 47¹ × 5¹ × 29¹ × 109¹
LCM(15792,15805) = 249592560