What is the Least Common Multiple of 8583 and 8597?
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 8583 and 8597 is 73788051.
LCM(8583,8597) = 73788051
Least Common Multiple of 8583 and 8597 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8583 and 8597, than apply into the LCM equation.
GCF(8583,8597) = 1
LCM(8583,8597) = ( 8583 × 8597) / 1
LCM(8583,8597) = 73788051 / 1
LCM(8583,8597) = 73788051
Least Common Multiple (LCM) of 8583 and 8597 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8583 and 8597. First we will calculate the prime factors of 8583 and 8597.
Prime Factorization of 8583
Prime factors of 8583 are 3, 2861. Prime factorization of 8583 in exponential form is:
8583 = 31 × 28611
Prime Factorization of 8597
Prime factors of 8597 are 8597. Prime factorization of 8597 in exponential form is:
8597 = 85971
Now multiplying the highest exponent prime factors to calculate the LCM of 8583 and 8597.
LCM(8583,8597) = 31 × 28611 × 85971
LCM(8583,8597) = 73788051
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