What is the Least Common Multiple of 16521 and 16537?
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 16521 and 16537 is 273207777.
LCM(16521,16537) = 273207777
Least Common Multiple of 16521 and 16537 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16521 and 16537, than apply into the LCM equation.
GCF(16521,16537) = 1
LCM(16521,16537) = ( 16521 × 16537) / 1
LCM(16521,16537) = 273207777 / 1
LCM(16521,16537) = 273207777
Least Common Multiple (LCM) of 16521 and 16537 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16521 and 16537. First we will calculate the prime factors of 16521 and 16537.
Prime Factorization of 16521
Prime factors of 16521 are 3, 5507. Prime factorization of 16521 in exponential form is:
16521 = 31 × 55071
Prime Factorization of 16537
Prime factors of 16537 are 23, 719. Prime factorization of 16537 in exponential form is:
16537 = 231 × 7191
Now multiplying the highest exponent prime factors to calculate the LCM of 16521 and 16537.
LCM(16521,16537) = 31 × 55071 × 231 × 7191
LCM(16521,16537) = 273207777
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