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What is the Least Common Multiple of 25812 and 25817?

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 25812 and 25817 is 666388404.

LCM(25812,25817) = 666388404

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Least Common Multiple of 25812 and 25817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25812 and 25817, than apply into the LCM equation.

GCF(25812,25817) = 1
LCM(25812,25817) = ( 25812 × 25817) / 1
LCM(25812,25817) = 666388404 / 1
LCM(25812,25817) = 666388404

Least Common Multiple (LCM) of 25812 and 25817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25812 and 25817. First we will calculate the prime factors of 25812 and 25817.

Prime Factorization of 25812

Prime factors of 25812 are 2, 3, 239. Prime factorization of 25812 in exponential form is:

25812 = 22 × 33 × 2391

Prime Factorization of 25817

Prime factors of 25817 are 11, 2347. Prime factorization of 25817 in exponential form is:

25817 = 111 × 23471

Now multiplying the highest exponent prime factors to calculate the LCM of 25812 and 25817.

LCM(25812,25817) = 22 × 33 × 2391 × 111 × 23471
LCM(25812,25817) = 666388404