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What is the Least Common Multiple of 25845 and 25851?

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 25845 and 25851 is 222706365.

LCM(25845,25851) = 222706365

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Least Common Multiple of 25845 and 25851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25845 and 25851, than apply into the LCM equation.

GCF(25845,25851) = 3
LCM(25845,25851) = ( 25845 × 25851) / 3
LCM(25845,25851) = 668119095 / 3
LCM(25845,25851) = 222706365

Least Common Multiple (LCM) of 25845 and 25851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25845 and 25851. First we will calculate the prime factors of 25845 and 25851.

Prime Factorization of 25845

Prime factors of 25845 are 3, 5, 1723. Prime factorization of 25845 in exponential form is:

25845 = 31 × 51 × 17231

Prime Factorization of 25851

Prime factors of 25851 are 3, 7, 1231. Prime factorization of 25851 in exponential form is:

25851 = 31 × 71 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 25845 and 25851.

LCM(25845,25851) = 31 × 51 × 17231 × 71 × 12311
LCM(25845,25851) = 222706365