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What is the Least Common Multiple of 25663 and 25682?

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 25663 and 25682 is 659077166.

LCM(25663,25682) = 659077166

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Least Common Multiple of 25663 and 25682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25663 and 25682, than apply into the LCM equation.

GCF(25663,25682) = 1
LCM(25663,25682) = ( 25663 × 25682) / 1
LCM(25663,25682) = 659077166 / 1
LCM(25663,25682) = 659077166

Least Common Multiple (LCM) of 25663 and 25682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25663 and 25682. First we will calculate the prime factors of 25663 and 25682.

Prime Factorization of 25663

Prime factors of 25663 are 11, 2333. Prime factorization of 25663 in exponential form is:

25663 = 111 × 23331

Prime Factorization of 25682

Prime factors of 25682 are 2, 12841. Prime factorization of 25682 in exponential form is:

25682 = 21 × 128411

Now multiplying the highest exponent prime factors to calculate the LCM of 25663 and 25682.

LCM(25663,25682) = 111 × 23331 × 21 × 128411
LCM(25663,25682) = 659077166