What is the Least Common Multiple of 18174 and 18193?

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 18174 and 18193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18174 and 18193, than apply into the LCM equation.

GCF(18174,18193) = 1
LCM(18174,18193) = ( 18174 × 18193) / 1
LCM(18174,18193) = 330639582 / 1
LCM(18174,18193) = 330639582

Least Common Multiple (LCM) of 18174 and 18193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18174 and 18193. First we will calculate the prime factors of 18174 and 18193.

Prime Factorization of 18174

Prime Factorization of 18193

Now multiplying the highest exponent prime factors to calculate the LCM of 18174 and 18193.

LCM(18174,18193) = 2¹ × 3¹ × 13¹ × 233¹ × 7¹ × 23¹ × 113¹
LCM(18174,18193) = 330639582