What is the Least Common Multiple of 18156 and 18174?

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 18156 and 18174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18156 and 18174, than apply into the LCM equation.

GCF(18156,18174) = 6
LCM(18156,18174) = ( 18156 × 18174) / 6
LCM(18156,18174) = 329967144 / 6
LCM(18156,18174) = 54994524

Least Common Multiple (LCM) of 18156 and 18174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18156 and 18174. First we will calculate the prime factors of 18156 and 18174.

Prime Factorization of 18156

Prime Factorization of 18174

Now multiplying the highest exponent prime factors to calculate the LCM of 18156 and 18174.

LCM(18156,18174) = 2² × 3¹ × 17¹ × 89¹ × 13¹ × 233¹
LCM(18156,18174) = 54994524