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What is the Least Common Multiple of 25689 and 25699?

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 25689 and 25699 is 660181611.

LCM(25689,25699) = 660181611

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Least Common Multiple of 25689 and 25699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25689 and 25699, than apply into the LCM equation.

GCF(25689,25699) = 1
LCM(25689,25699) = ( 25689 × 25699) / 1
LCM(25689,25699) = 660181611 / 1
LCM(25689,25699) = 660181611

Least Common Multiple (LCM) of 25689 and 25699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25689 and 25699. First we will calculate the prime factors of 25689 and 25699.

Prime Factorization of 25689

Prime factors of 25689 are 3, 8563. Prime factorization of 25689 in exponential form is:

25689 = 31 × 85631

Prime Factorization of 25699

Prime factors of 25699 are 31, 829. Prime factorization of 25699 in exponential form is:

25699 = 311 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 25689 and 25699.

LCM(25689,25699) = 31 × 85631 × 311 × 8291
LCM(25689,25699) = 660181611