GCF and LCM Calculator Logo

What is the Least Common Multiple of 18309 and 18324?

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 (LCM) of 18309 and 18324 is 111831372.

LCM(18309,18324) = 111831372

LCM Calculator and
and

Least Common Multiple of 18309 and 18324 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 18324, than apply into the LCM equation.

GCF(18309,18324) = 3
LCM(18309,18324) = ( 18309 × 18324) / 3
LCM(18309,18324) = 335494116 / 3
LCM(18309,18324) = 111831372

Least Common Multiple (LCM) of 18309 and 18324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18309 and 18324. First we will calculate the prime factors of 18309 and 18324.

Prime Factorization of 18309

Prime factors of 18309 are 3, 17, 359. Prime factorization of 18309 in exponential form is:

18309 = 31 × 171 × 3591

Prime Factorization of 18324

Prime factors of 18324 are 2, 3, 509. Prime factorization of 18324 in exponential form is:

18324 = 22 × 32 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 18309 and 18324.

LCM(18309,18324) = 32 × 171 × 3591 × 22 × 5091
LCM(18309,18324) = 111831372