What is the Least Common Multiple of 8593 and 8605?
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 8593 and 8605 is 73942765.
LCM(8593,8605) = 73942765
Least Common Multiple of 8593 and 8605 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8593 and 8605, than apply into the LCM equation.
GCF(8593,8605) = 1
LCM(8593,8605) = ( 8593 × 8605) / 1
LCM(8593,8605) = 73942765 / 1
LCM(8593,8605) = 73942765
Least Common Multiple (LCM) of 8593 and 8605 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8593 and 8605. First we will calculate the prime factors of 8593 and 8605.
Prime Factorization of 8593
Prime factors of 8593 are 13, 661. Prime factorization of 8593 in exponential form is:
8593 = 131 × 6611
Prime Factorization of 8605
Prime factors of 8605 are 5, 1721. Prime factorization of 8605 in exponential form is:
8605 = 51 × 17211
Now multiplying the highest exponent prime factors to calculate the LCM of 8593 and 8605.
LCM(8593,8605) = 131 × 6611 × 51 × 17211
LCM(8593,8605) = 73942765
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