What is the Least Common Multiple of 18307 and 18317?
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 18307 and 18317 is 335329319.
LCM(18307,18317) = 335329319
Least Common Multiple of 18307 and 18317 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18307 and 18317, than apply into the LCM equation.
GCF(18307,18317) = 1
LCM(18307,18317) = ( 18307 × 18317) / 1
LCM(18307,18317) = 335329319 / 1
LCM(18307,18317) = 335329319
Least Common Multiple (LCM) of 18307 and 18317 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18307 and 18317. First we will calculate the prime factors of 18307 and 18317.
Prime Factorization of 18307
Prime factors of 18307 are 18307. Prime factorization of 18307 in exponential form is:
18307 = 183071
Prime Factorization of 18317
Prime factors of 18317 are 13, 1409. Prime factorization of 18317 in exponential form is:
18317 = 131 × 14091
Now multiplying the highest exponent prime factors to calculate the LCM of 18307 and 18317.
LCM(18307,18317) = 183071 × 131 × 14091
LCM(18307,18317) = 335329319
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