What is the Least Common Multiple of 16703 and 16710?
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 16703 and 16710 is 279107130.
LCM(16703,16710) = 279107130
Least Common Multiple of 16703 and 16710 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16703 and 16710, than apply into the LCM equation.
GCF(16703,16710) = 1
LCM(16703,16710) = ( 16703 × 16710) / 1
LCM(16703,16710) = 279107130 / 1
LCM(16703,16710) = 279107130
Least Common Multiple (LCM) of 16703 and 16710 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16703 and 16710. First we will calculate the prime factors of 16703 and 16710.
Prime Factorization of 16703
Prime factors of 16703 are 16703. Prime factorization of 16703 in exponential form is:
16703 = 167031
Prime Factorization of 16710
Prime factors of 16710 are 2, 3, 5, 557. Prime factorization of 16710 in exponential form is:
16710 = 21 × 31 × 51 × 5571
Now multiplying the highest exponent prime factors to calculate the LCM of 16703 and 16710.
LCM(16703,16710) = 167031 × 21 × 31 × 51 × 5571
LCM(16703,16710) = 279107130
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