What is the Least Common Multiple of 18309 and 18315?

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 18309 and 18315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18309 and 18315, than apply into the LCM equation.

GCF(18309,18315) = 3
LCM(18309,18315) = ( 18309 × 18315) / 3
LCM(18309,18315) = 335329335 / 3
LCM(18309,18315) = 111776445

Least Common Multiple (LCM) of 18309 and 18315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18309 and 18315. First we will calculate the prime factors of 18309 and 18315.

Prime Factorization of 18309

Prime Factorization of 18315

Now multiplying the highest exponent prime factors to calculate the LCM of 18309 and 18315.

LCM(18309,18315) = 3² × 17¹ × 359¹ × 5¹ × 11¹ × 37¹
LCM(18309,18315) = 111776445