What is the Least Common Multiple of 12590 and 12596?
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 12590 and 12596 is 79291820.
LCM(12590,12596) = 79291820
Least Common Multiple of 12590 and 12596 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12590 and 12596, than apply into the LCM equation.
GCF(12590,12596) = 2
LCM(12590,12596) = ( 12590 × 12596) / 2
LCM(12590,12596) = 158583640 / 2
LCM(12590,12596) = 79291820
Least Common Multiple (LCM) of 12590 and 12596 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12590 and 12596. First we will calculate the prime factors of 12590 and 12596.
Prime Factorization of 12590
Prime factors of 12590 are 2, 5, 1259. Prime factorization of 12590 in exponential form is:
12590 = 21 × 51 × 12591
Prime Factorization of 12596
Prime factors of 12596 are 2, 47, 67. Prime factorization of 12596 in exponential form is:
12596 = 22 × 471 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 12590 and 12596.
LCM(12590,12596) = 22 × 51 × 12591 × 471 × 671
LCM(12590,12596) = 79291820
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