What is the Least Common Multiple of 16507 and 16517?
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 16507 and 16517 is 272646119.
LCM(16507,16517) = 272646119
Least Common Multiple of 16507 and 16517 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16507 and 16517, than apply into the LCM equation.
GCF(16507,16517) = 1
LCM(16507,16517) = ( 16507 × 16517) / 1
LCM(16507,16517) = 272646119 / 1
LCM(16507,16517) = 272646119
Least Common Multiple (LCM) of 16507 and 16517 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16507 and 16517. First we will calculate the prime factors of 16507 and 16517.
Prime Factorization of 16507
Prime factors of 16507 are 17, 971. Prime factorization of 16507 in exponential form is:
16507 = 171 × 9711
Prime Factorization of 16517
Prime factors of 16517 are 83, 199. Prime factorization of 16517 in exponential form is:
16517 = 831 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 16507 and 16517.
LCM(16507,16517) = 171 × 9711 × 831 × 1991
LCM(16507,16517) = 272646119
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