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What is the Least Common Multiple of 25468 and 25486?

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 25468 and 25486 is 324538724.

LCM(25468,25486) = 324538724

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Least Common Multiple of 25468 and 25486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25468 and 25486, than apply into the LCM equation.

GCF(25468,25486) = 2
LCM(25468,25486) = ( 25468 × 25486) / 2
LCM(25468,25486) = 649077448 / 2
LCM(25468,25486) = 324538724

Least Common Multiple (LCM) of 25468 and 25486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25468 and 25486. First we will calculate the prime factors of 25468 and 25486.

Prime Factorization of 25468

Prime factors of 25468 are 2, 6367. Prime factorization of 25468 in exponential form is:

25468 = 22 × 63671

Prime Factorization of 25486

Prime factors of 25486 are 2, 12743. Prime factorization of 25486 in exponential form is:

25486 = 21 × 127431

Now multiplying the highest exponent prime factors to calculate the LCM of 25468 and 25486.

LCM(25468,25486) = 22 × 63671 × 127431
LCM(25468,25486) = 324538724