What is the Least Common Multiple of 18704 and 18717?

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 18704 and 18717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18704 and 18717, than apply into the LCM equation.

GCF(18704,18717) = 1
LCM(18704,18717) = ( 18704 × 18717) / 1
LCM(18704,18717) = 350082768 / 1
LCM(18704,18717) = 350082768

Least Common Multiple (LCM) of 18704 and 18717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18704 and 18717. First we will calculate the prime factors of 18704 and 18717.

Prime Factorization of 18704

Prime Factorization of 18717

Now multiplying the highest exponent prime factors to calculate the LCM of 18704 and 18717.

LCM(18704,18717) = 2⁴ × 7¹ × 167¹ × 3¹ × 17¹ × 367¹
LCM(18704,18717) = 350082768