What is the Least Common Multiple of 16547 and 16566?
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 16566 is 274117602.
LCM(16547,16566) = 274117602
Least Common Multiple of 16547 and 16566 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 16566, than apply into the LCM equation.
GCF(16547,16566) = 1
LCM(16547,16566) = ( 16547 × 16566) / 1
LCM(16547,16566) = 274117602 / 1
LCM(16547,16566) = 274117602
Least Common Multiple (LCM) of 16547 and 16566 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16547 and 16566. First we will calculate the prime factors of 16547 and 16566.
Prime Factorization of 16547
Prime factors of 16547 are 16547. Prime factorization of 16547 in exponential form is:
16547 = 165471
Prime Factorization of 16566
Prime factors of 16566 are 2, 3, 11, 251. Prime factorization of 16566 in exponential form is:
16566 = 21 × 31 × 111 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 16547 and 16566.
LCM(16547,16566) = 165471 × 21 × 31 × 111 × 2511
LCM(16547,16566) = 274117602
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