What is the Least Common Multiple of 8566 and 8583?
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 8566 and 8583 is 73521978.
LCM(8566,8583) = 73521978
Least Common Multiple of 8566 and 8583 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8566 and 8583, than apply into the LCM equation.
GCF(8566,8583) = 1
LCM(8566,8583) = ( 8566 × 8583) / 1
LCM(8566,8583) = 73521978 / 1
LCM(8566,8583) = 73521978
Least Common Multiple (LCM) of 8566 and 8583 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8566 and 8583. First we will calculate the prime factors of 8566 and 8583.
Prime Factorization of 8566
Prime factors of 8566 are 2, 4283. Prime factorization of 8566 in exponential form is:
8566 = 21 × 42831
Prime Factorization of 8583
Prime factors of 8583 are 3, 2861. Prime factorization of 8583 in exponential form is:
8583 = 31 × 28611
Now multiplying the highest exponent prime factors to calculate the LCM of 8566 and 8583.
LCM(8566,8583) = 21 × 42831 × 31 × 28611
LCM(8566,8583) = 73521978
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