What is the Least Common Multiple of 18289 and 18304?
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 18304 is 334761856.
LCM(18289,18304) = 334761856
Least Common Multiple of 18289 and 18304 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 18304, than apply into the LCM equation.
GCF(18289,18304) = 1
LCM(18289,18304) = ( 18289 × 18304) / 1
LCM(18289,18304) = 334761856 / 1
LCM(18289,18304) = 334761856
Least Common Multiple (LCM) of 18289 and 18304 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18289 and 18304. First we will calculate the prime factors of 18289 and 18304.
Prime Factorization of 18289
Prime factors of 18289 are 18289. Prime factorization of 18289 in exponential form is:
18289 = 182891
Prime Factorization of 18304
Prime factors of 18304 are 2, 11, 13. Prime factorization of 18304 in exponential form is:
18304 = 27 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 18289 and 18304.
LCM(18289,18304) = 182891 × 27 × 111 × 131
LCM(18289,18304) = 334761856
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