What is the Least Common Multiple of 23792 and 23805?

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 23792 and 23805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23792 and 23805, than apply into the LCM equation.

GCF(23792,23805) = 1
LCM(23792,23805) = ( 23792 × 23805) / 1
LCM(23792,23805) = 566368560 / 1
LCM(23792,23805) = 566368560

Least Common Multiple (LCM) of 23792 and 23805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23792 and 23805. First we will calculate the prime factors of 23792 and 23805.

Prime Factorization of 23792

Prime Factorization of 23805

Now multiplying the highest exponent prime factors to calculate the LCM of 23792 and 23805.

LCM(23792,23805) = 2⁴ × 1487¹ × 3² × 5¹ × 23²
LCM(23792,23805) = 566368560