What is the Least Common Multiple of 8588 and 8593?
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 8588 and 8593 is 73796684.
LCM(8588,8593) = 73796684
Least Common Multiple of 8588 and 8593 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8588 and 8593, than apply into the LCM equation.
GCF(8588,8593) = 1
LCM(8588,8593) = ( 8588 × 8593) / 1
LCM(8588,8593) = 73796684 / 1
LCM(8588,8593) = 73796684
Least Common Multiple (LCM) of 8588 and 8593 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8588 and 8593. First we will calculate the prime factors of 8588 and 8593.
Prime Factorization of 8588
Prime factors of 8588 are 2, 19, 113. Prime factorization of 8588 in exponential form is:
8588 = 22 × 191 × 1131
Prime Factorization of 8593
Prime factors of 8593 are 13, 661. Prime factorization of 8593 in exponential form is:
8593 = 131 × 6611
Now multiplying the highest exponent prime factors to calculate the LCM of 8588 and 8593.
LCM(8588,8593) = 22 × 191 × 1131 × 131 × 6611
LCM(8588,8593) = 73796684
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