What is the Least Common Multiple of 18700 and 18718?

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 18700 and 18718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18700 and 18718, than apply into the LCM equation.

GCF(18700,18718) = 2
LCM(18700,18718) = ( 18700 × 18718) / 2
LCM(18700,18718) = 350026600 / 2
LCM(18700,18718) = 175013300

Least Common Multiple (LCM) of 18700 and 18718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18700 and 18718. First we will calculate the prime factors of 18700 and 18718.

Prime Factorization of 18700

Prime Factorization of 18718

Now multiplying the highest exponent prime factors to calculate the LCM of 18700 and 18718.

LCM(18700,18718) = 2² × 5² × 11¹ × 17¹ × 7² × 191¹
LCM(18700,18718) = 175013300