What is the Least Common Multiple of 12582 and 12600?
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 12582 and 12600 is 8807400.
LCM(12582,12600) = 8807400
Least Common Multiple of 12582 and 12600 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12582 and 12600, than apply into the LCM equation.
GCF(12582,12600) = 18
LCM(12582,12600) = ( 12582 × 12600) / 18
LCM(12582,12600) = 158533200 / 18
LCM(12582,12600) = 8807400
Least Common Multiple (LCM) of 12582 and 12600 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12582 and 12600. First we will calculate the prime factors of 12582 and 12600.
Prime Factorization of 12582
Prime factors of 12582 are 2, 3, 233. Prime factorization of 12582 in exponential form is:
12582 = 21 × 33 × 2331
Prime Factorization of 12600
Prime factors of 12600 are 2, 3, 5, 7. Prime factorization of 12600 in exponential form is:
12600 = 23 × 32 × 52 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 12582 and 12600.
LCM(12582,12600) = 23 × 33 × 2331 × 52 × 71
LCM(12582,12600) = 8807400
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