What is the Least Common Multiple of 16517 and 16533?
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 16517 and 16533 is 273075561.
LCM(16517,16533) = 273075561
Least Common Multiple of 16517 and 16533 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16517 and 16533, than apply into the LCM equation.
GCF(16517,16533) = 1
LCM(16517,16533) = ( 16517 × 16533) / 1
LCM(16517,16533) = 273075561 / 1
LCM(16517,16533) = 273075561
Least Common Multiple (LCM) of 16517 and 16533 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16517 and 16533. First we will calculate the prime factors of 16517 and 16533.
Prime Factorization of 16517
Prime factors of 16517 are 83, 199. Prime factorization of 16517 in exponential form is:
16517 = 831 × 1991
Prime Factorization of 16533
Prime factors of 16533 are 3, 11, 167. Prime factorization of 16533 in exponential form is:
16533 = 32 × 111 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 16517 and 16533.
LCM(16517,16533) = 831 × 1991 × 32 × 111 × 1671
LCM(16517,16533) = 273075561
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