What is the Least Common Multiple of 18304 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 (LCM) of 18304 and 18309 is 335127936.
LCM(18304,18309) = 335127936
Least Common Multiple of 18304 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 18304 and 18309, than apply into the LCM equation.
GCF(18304,18309) = 1
LCM(18304,18309) = ( 18304 × 18309) / 1
LCM(18304,18309) = 335127936 / 1
LCM(18304,18309) = 335127936
Least Common Multiple (LCM) of 18304 and 18309 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18304 and 18309. First we will calculate the prime factors of 18304 and 18309.
Prime Factorization of 18304
Prime factors of 18304 are 2, 11, 13. Prime factorization of 18304 in exponential form is:
18304 = 27 × 111 × 131
Prime Factorization of 18309
Prime factors of 18309 are 3, 17, 359. Prime factorization of 18309 in exponential form is:
18309 = 31 × 171 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 18304 and 18309.
LCM(18304,18309) = 27 × 111 × 131 × 31 × 171 × 3591
LCM(18304,18309) = 335127936
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