What is the Least Common Multiple of 72123 and 72129?

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 72123 and 72129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72123 and 72129, than apply into the LCM equation.

GCF(72123,72129) = 3
LCM(72123,72129) = ( 72123 × 72129) / 3
LCM(72123,72129) = 5202159867 / 3
LCM(72123,72129) = 1734053289

Least Common Multiple (LCM) of 72123 and 72129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72123 and 72129. First we will calculate the prime factors of 72123 and 72129.

Prime Factorization of 72123

Prime Factorization of 72129

Now multiplying the highest exponent prime factors to calculate the LCM of 72123 and 72129.

LCM(72123,72129) = 3¹ × 29¹ × 829¹ × 24043¹
LCM(72123,72129) = 1734053289