What is the Least Common Multiple of 18123 and 18129?

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 18123 and 18129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18123 and 18129, than apply into the LCM equation.

GCF(18123,18129) = 3
LCM(18123,18129) = ( 18123 × 18129) / 3
LCM(18123,18129) = 328551867 / 3
LCM(18123,18129) = 109517289

Least Common Multiple (LCM) of 18123 and 18129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18123 and 18129. First we will calculate the prime factors of 18123 and 18129.

Prime Factorization of 18123

Prime Factorization of 18129

Now multiplying the highest exponent prime factors to calculate the LCM of 18123 and 18129.

LCM(18123,18129) = 3¹ × 7¹ × 863¹ × 6043¹
LCM(18123,18129) = 109517289