What is the Least Common Multiple of 16283 and 16289?
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 16283 and 16289 is 265233787.
LCM(16283,16289) = 265233787
Least Common Multiple of 16283 and 16289 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16283 and 16289, than apply into the LCM equation.
GCF(16283,16289) = 1
LCM(16283,16289) = ( 16283 × 16289) / 1
LCM(16283,16289) = 265233787 / 1
LCM(16283,16289) = 265233787
Least Common Multiple (LCM) of 16283 and 16289 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16283 and 16289. First we will calculate the prime factors of 16283 and 16289.
Prime Factorization of 16283
Prime factors of 16283 are 19, 857. Prime factorization of 16283 in exponential form is:
16283 = 191 × 8571
Prime Factorization of 16289
Prime factors of 16289 are 7, 13, 179. Prime factorization of 16289 in exponential form is:
16289 = 71 × 131 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 16283 and 16289.
LCM(16283,16289) = 191 × 8571 × 71 × 131 × 1791
LCM(16283,16289) = 265233787
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