What is the Least Common Multiple of 18300 and 18309?

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 18300 and 18309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18300 and 18309, than apply into the LCM equation.

GCF(18300,18309) = 3
LCM(18300,18309) = ( 18300 × 18309) / 3
LCM(18300,18309) = 335054700 / 3
LCM(18300,18309) = 111684900

Least Common Multiple (LCM) of 18300 and 18309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18300 and 18309. First we will calculate the prime factors of 18300 and 18309.

Prime Factorization of 18300

Prime Factorization of 18309

Now multiplying the highest exponent prime factors to calculate the LCM of 18300 and 18309.

LCM(18300,18309) = 2² × 3¹ × 5² × 61¹ × 17¹ × 359¹
LCM(18300,18309) = 111684900