What is the Least Common Multiple of 18285 and 18289?
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 18285 and 18289 is 334414365.
LCM(18285,18289) = 334414365
Least Common Multiple of 18285 and 18289 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18285 and 18289, than apply into the LCM equation.
GCF(18285,18289) = 1
LCM(18285,18289) = ( 18285 × 18289) / 1
LCM(18285,18289) = 334414365 / 1
LCM(18285,18289) = 334414365
Least Common Multiple (LCM) of 18285 and 18289 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18285 and 18289. First we will calculate the prime factors of 18285 and 18289.
Prime Factorization of 18285
Prime factors of 18285 are 3, 5, 23, 53. Prime factorization of 18285 in exponential form is:
18285 = 31 × 51 × 231 × 531
Prime Factorization of 18289
Prime factors of 18289 are 18289. Prime factorization of 18289 in exponential form is:
18289 = 182891
Now multiplying the highest exponent prime factors to calculate the LCM of 18285 and 18289.
LCM(18285,18289) = 31 × 51 × 231 × 531 × 182891
LCM(18285,18289) = 334414365
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