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What is the Least Common Multiple of 25688 and 25694?

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 25688 and 25694 is 330013736.

LCM(25688,25694) = 330013736

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Least Common Multiple of 25688 and 25694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25688 and 25694, than apply into the LCM equation.

GCF(25688,25694) = 2
LCM(25688,25694) = ( 25688 × 25694) / 2
LCM(25688,25694) = 660027472 / 2
LCM(25688,25694) = 330013736

Least Common Multiple (LCM) of 25688 and 25694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25688 and 25694. First we will calculate the prime factors of 25688 and 25694.

Prime Factorization of 25688

Prime factors of 25688 are 2, 13, 19. Prime factorization of 25688 in exponential form is:

25688 = 23 × 132 × 191

Prime Factorization of 25694

Prime factors of 25694 are 2, 29, 443. Prime factorization of 25694 in exponential form is:

25694 = 21 × 291 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 25688 and 25694.

LCM(25688,25694) = 23 × 132 × 191 × 291 × 4431
LCM(25688,25694) = 330013736