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What is the Least Common Multiple of 25858 and 25866?

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 25858 and 25866 is 334421514.

LCM(25858,25866) = 334421514

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Least Common Multiple of 25858 and 25866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25858 and 25866, than apply into the LCM equation.

GCF(25858,25866) = 2
LCM(25858,25866) = ( 25858 × 25866) / 2
LCM(25858,25866) = 668843028 / 2
LCM(25858,25866) = 334421514

Least Common Multiple (LCM) of 25858 and 25866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25858 and 25866. First we will calculate the prime factors of 25858 and 25866.

Prime Factorization of 25858

Prime factors of 25858 are 2, 7, 1847. Prime factorization of 25858 in exponential form is:

25858 = 21 × 71 × 18471

Prime Factorization of 25866

Prime factors of 25866 are 2, 3, 479. Prime factorization of 25866 in exponential form is:

25866 = 21 × 33 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 25858 and 25866.

LCM(25858,25866) = 21 × 71 × 18471 × 33 × 4791
LCM(25858,25866) = 334421514