What is the Least Common Multiple of 16569 and 16583?
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 16569 and 16583 is 39251961.
LCM(16569,16583) = 39251961
Least Common Multiple of 16569 and 16583 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16569 and 16583, than apply into the LCM equation.
GCF(16569,16583) = 7
LCM(16569,16583) = ( 16569 × 16583) / 7
LCM(16569,16583) = 274763727 / 7
LCM(16569,16583) = 39251961
Least Common Multiple (LCM) of 16569 and 16583 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16569 and 16583. First we will calculate the prime factors of 16569 and 16583.
Prime Factorization of 16569
Prime factors of 16569 are 3, 7, 263. Prime factorization of 16569 in exponential form is:
16569 = 32 × 71 × 2631
Prime Factorization of 16583
Prime factors of 16583 are 7, 23, 103. Prime factorization of 16583 in exponential form is:
16583 = 71 × 231 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 16569 and 16583.
LCM(16569,16583) = 32 × 71 × 2631 × 231 × 1031
LCM(16569,16583) = 39251961
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