What is the Least Common Multiple of 16544 and 16559?
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 16544 and 16559 is 273952096.
LCM(16544,16559) = 273952096
Least Common Multiple of 16544 and 16559 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16544 and 16559, than apply into the LCM equation.
GCF(16544,16559) = 1
LCM(16544,16559) = ( 16544 × 16559) / 1
LCM(16544,16559) = 273952096 / 1
LCM(16544,16559) = 273952096
Least Common Multiple (LCM) of 16544 and 16559 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16544 and 16559. First we will calculate the prime factors of 16544 and 16559.
Prime Factorization of 16544
Prime factors of 16544 are 2, 11, 47. Prime factorization of 16544 in exponential form is:
16544 = 25 × 111 × 471
Prime Factorization of 16559
Prime factors of 16559 are 29, 571. Prime factorization of 16559 in exponential form is:
16559 = 291 × 5711
Now multiplying the highest exponent prime factors to calculate the LCM of 16544 and 16559.
LCM(16544,16559) = 25 × 111 × 471 × 291 × 5711
LCM(16544,16559) = 273952096
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