What is the Least Common Multiple of 18289 and 18294?
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 18289 and 18294 is 334578966.
LCM(18289,18294) = 334578966
Least Common Multiple of 18289 and 18294 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18289 and 18294, than apply into the LCM equation.
GCF(18289,18294) = 1
LCM(18289,18294) = ( 18289 × 18294) / 1
LCM(18289,18294) = 334578966 / 1
LCM(18289,18294) = 334578966
Least Common Multiple (LCM) of 18289 and 18294 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18289 and 18294. First we will calculate the prime factors of 18289 and 18294.
Prime Factorization of 18289
Prime factors of 18289 are 18289. Prime factorization of 18289 in exponential form is:
18289 = 182891
Prime Factorization of 18294
Prime factors of 18294 are 2, 3, 3049. Prime factorization of 18294 in exponential form is:
18294 = 21 × 31 × 30491
Now multiplying the highest exponent prime factors to calculate the LCM of 18289 and 18294.
LCM(18289,18294) = 182891 × 21 × 31 × 30491
LCM(18289,18294) = 334578966
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