What is the Least Common Multiple of 16899 and 16903?
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 16899 and 16903 is 285643797.
LCM(16899,16903) = 285643797
Least Common Multiple of 16899 and 16903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16899 and 16903, than apply into the LCM equation.
GCF(16899,16903) = 1
LCM(16899,16903) = ( 16899 × 16903) / 1
LCM(16899,16903) = 285643797 / 1
LCM(16899,16903) = 285643797
Least Common Multiple (LCM) of 16899 and 16903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16899 and 16903. First we will calculate the prime factors of 16899 and 16903.
Prime Factorization of 16899
Prime factors of 16899 are 3, 43, 131. Prime factorization of 16899 in exponential form is:
16899 = 31 × 431 × 1311
Prime Factorization of 16903
Prime factors of 16903 are 16903. Prime factorization of 16903 in exponential form is:
16903 = 169031
Now multiplying the highest exponent prime factors to calculate the LCM of 16899 and 16903.
LCM(16899,16903) = 31 × 431 × 1311 × 169031
LCM(16899,16903) = 285643797
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