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What is the Least Common Multiple of 25789 and 25806?

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 25789 and 25806 is 39147702.

LCM(25789,25806) = 39147702

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Least Common Multiple of 25789 and 25806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25789 and 25806, than apply into the LCM equation.

GCF(25789,25806) = 17
LCM(25789,25806) = ( 25789 × 25806) / 17
LCM(25789,25806) = 665510934 / 17
LCM(25789,25806) = 39147702

Least Common Multiple (LCM) of 25789 and 25806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25789 and 25806. First we will calculate the prime factors of 25789 and 25806.

Prime Factorization of 25789

Prime factors of 25789 are 17, 37, 41. Prime factorization of 25789 in exponential form is:

25789 = 171 × 371 × 411

Prime Factorization of 25806

Prime factors of 25806 are 2, 3, 11, 17, 23. Prime factorization of 25806 in exponential form is:

25806 = 21 × 31 × 111 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 25789 and 25806.

LCM(25789,25806) = 171 × 371 × 411 × 21 × 31 × 111 × 231
LCM(25789,25806) = 39147702