What is the Least Common Multiple of 12508 and 12513?
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 12508 and 12513 is 156512604.
LCM(12508,12513) = 156512604
Least Common Multiple of 12508 and 12513 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12508 and 12513, than apply into the LCM equation.
GCF(12508,12513) = 1
LCM(12508,12513) = ( 12508 × 12513) / 1
LCM(12508,12513) = 156512604 / 1
LCM(12508,12513) = 156512604
Least Common Multiple (LCM) of 12508 and 12513 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12508 and 12513. First we will calculate the prime factors of 12508 and 12513.
Prime Factorization of 12508
Prime factors of 12508 are 2, 53, 59. Prime factorization of 12508 in exponential form is:
12508 = 22 × 531 × 591
Prime Factorization of 12513
Prime factors of 12513 are 3, 43, 97. Prime factorization of 12513 in exponential form is:
12513 = 31 × 431 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 12508 and 12513.
LCM(12508,12513) = 22 × 531 × 591 × 31 × 431 × 971
LCM(12508,12513) = 156512604
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