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What is the Least Common Multiple of 12578 and 12585?

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 12578 and 12585 is 158294130.

LCM(12578,12585) = 158294130

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Least Common Multiple of 12578 and 12585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12578 and 12585, than apply into the LCM equation.

GCF(12578,12585) = 1
LCM(12578,12585) = ( 12578 × 12585) / 1
LCM(12578,12585) = 158294130 / 1
LCM(12578,12585) = 158294130

Least Common Multiple (LCM) of 12578 and 12585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12578 and 12585. First we will calculate the prime factors of 12578 and 12585.

Prime Factorization of 12578

Prime factors of 12578 are 2, 19, 331. Prime factorization of 12578 in exponential form is:

12578 = 21 × 191 × 3311

Prime Factorization of 12585

Prime factors of 12585 are 3, 5, 839. Prime factorization of 12585 in exponential form is:

12585 = 31 × 51 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 12578 and 12585.

LCM(12578,12585) = 21 × 191 × 3311 × 31 × 51 × 8391
LCM(12578,12585) = 158294130