What is the Least Common Multiple of 16903 and 16916?
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 16903 and 16916 is 285931148.
LCM(16903,16916) = 285931148
Least Common Multiple of 16903 and 16916 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16903 and 16916, than apply into the LCM equation.
GCF(16903,16916) = 1
LCM(16903,16916) = ( 16903 × 16916) / 1
LCM(16903,16916) = 285931148 / 1
LCM(16903,16916) = 285931148
Least Common Multiple (LCM) of 16903 and 16916 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16903 and 16916. First we will calculate the prime factors of 16903 and 16916.
Prime Factorization of 16903
Prime factors of 16903 are 16903. Prime factorization of 16903 in exponential form is:
16903 = 169031
Prime Factorization of 16916
Prime factors of 16916 are 2, 4229. Prime factorization of 16916 in exponential form is:
16916 = 22 × 42291
Now multiplying the highest exponent prime factors to calculate the LCM of 16903 and 16916.
LCM(16903,16916) = 169031 × 22 × 42291
LCM(16903,16916) = 285931148
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