What is the Least Common Multiple of 16889 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 16889 and 16903 is 285474767.
LCM(16889,16903) = 285474767
Least Common Multiple of 16889 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 16889 and 16903, than apply into the LCM equation.
GCF(16889,16903) = 1
LCM(16889,16903) = ( 16889 × 16903) / 1
LCM(16889,16903) = 285474767 / 1
LCM(16889,16903) = 285474767
Least Common Multiple (LCM) of 16889 and 16903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16889 and 16903. First we will calculate the prime factors of 16889 and 16903.
Prime Factorization of 16889
Prime factors of 16889 are 16889. Prime factorization of 16889 in exponential form is:
16889 = 168891
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 16889 and 16903.
LCM(16889,16903) = 168891 × 169031
LCM(16889,16903) = 285474767
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