What is the Least Common Multiple of 18174 and 18178?

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 18178 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 18178, than apply into the LCM equation.

GCF(18174,18178) = 2
LCM(18174,18178) = ( 18174 × 18178) / 2
LCM(18174,18178) = 330366972 / 2
LCM(18174,18178) = 165183486

Least Common Multiple (LCM) of 18174 and 18178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18174 and 18178. First we will calculate the prime factors of 18174 and 18178.

Prime Factorization of 18174

Prime Factorization of 18178

Now multiplying the highest exponent prime factors to calculate the LCM of 18174 and 18178.

LCM(18174,18178) = 2¹ × 3¹ × 13¹ × 233¹ × 61¹ × 149¹
LCM(18174,18178) = 165183486