What is the Least Common Multiple of 16547 and 16555?
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 16547 and 16555 is 273935585.
LCM(16547,16555) = 273935585
Least Common Multiple of 16547 and 16555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16547 and 16555, than apply into the LCM equation.
GCF(16547,16555) = 1
LCM(16547,16555) = ( 16547 × 16555) / 1
LCM(16547,16555) = 273935585 / 1
LCM(16547,16555) = 273935585
Least Common Multiple (LCM) of 16547 and 16555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16547 and 16555. First we will calculate the prime factors of 16547 and 16555.
Prime Factorization of 16547
Prime factors of 16547 are 16547. Prime factorization of 16547 in exponential form is:
16547 = 165471
Prime Factorization of 16555
Prime factors of 16555 are 5, 7, 11, 43. Prime factorization of 16555 in exponential form is:
16555 = 51 × 71 × 111 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 16547 and 16555.
LCM(16547,16555) = 165471 × 51 × 71 × 111 × 431
LCM(16547,16555) = 273935585
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