What is the Least Common Multiple of 12579 and 12599?
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 12579 and 12599 is 158482821.
LCM(12579,12599) = 158482821
Least Common Multiple of 12579 and 12599 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12579 and 12599, than apply into the LCM equation.
GCF(12579,12599) = 1
LCM(12579,12599) = ( 12579 × 12599) / 1
LCM(12579,12599) = 158482821 / 1
LCM(12579,12599) = 158482821
Least Common Multiple (LCM) of 12579 and 12599 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12579 and 12599. First we will calculate the prime factors of 12579 and 12599.
Prime Factorization of 12579
Prime factors of 12579 are 3, 7, 599. Prime factorization of 12579 in exponential form is:
12579 = 31 × 71 × 5991
Prime Factorization of 12599
Prime factors of 12599 are 43, 293. Prime factorization of 12599 in exponential form is:
12599 = 431 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 12579 and 12599.
LCM(12579,12599) = 31 × 71 × 5991 × 431 × 2931
LCM(12579,12599) = 158482821
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