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What is the Least Common Multiple of 12581 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 12581 and 12600 is 158520600.

LCM(12581,12600) = 158520600

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Least Common Multiple of 12581 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 12581 and 12600, than apply into the LCM equation.

GCF(12581,12600) = 1
LCM(12581,12600) = ( 12581 × 12600) / 1
LCM(12581,12600) = 158520600 / 1
LCM(12581,12600) = 158520600

Least Common Multiple (LCM) of 12581 and 12600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12581 and 12600. First we will calculate the prime factors of 12581 and 12600.

Prime Factorization of 12581

Prime factors of 12581 are 23, 547. Prime factorization of 12581 in exponential form is:

12581 = 231 × 5471

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 12581 and 12600.

LCM(12581,12600) = 231 × 5471 × 23 × 32 × 52 × 71
LCM(12581,12600) = 158520600