What is the Least Common Multiple of 12593 and 12601?
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 12593 and 12601 is 158684393.
LCM(12593,12601) = 158684393
Least Common Multiple of 12593 and 12601 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12593 and 12601, than apply into the LCM equation.
GCF(12593,12601) = 1
LCM(12593,12601) = ( 12593 × 12601) / 1
LCM(12593,12601) = 158684393 / 1
LCM(12593,12601) = 158684393
Least Common Multiple (LCM) of 12593 and 12601 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12593 and 12601. First we will calculate the prime factors of 12593 and 12601.
Prime Factorization of 12593
Prime factors of 12593 are 7, 257. Prime factorization of 12593 in exponential form is:
12593 = 72 × 2571
Prime Factorization of 12601
Prime factors of 12601 are 12601. Prime factorization of 12601 in exponential form is:
12601 = 126011
Now multiplying the highest exponent prime factors to calculate the LCM of 12593 and 12601.
LCM(12593,12601) = 72 × 2571 × 126011
LCM(12593,12601) = 158684393
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