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What is the Least Common Multiple of 25686 and 25706?

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 25686 and 25706 is 330142158.

LCM(25686,25706) = 330142158

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Least Common Multiple of 25686 and 25706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25686 and 25706, than apply into the LCM equation.

GCF(25686,25706) = 2
LCM(25686,25706) = ( 25686 × 25706) / 2
LCM(25686,25706) = 660284316 / 2
LCM(25686,25706) = 330142158

Least Common Multiple (LCM) of 25686 and 25706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25686 and 25706. First we will calculate the prime factors of 25686 and 25706.

Prime Factorization of 25686

Prime factors of 25686 are 2, 3, 1427. Prime factorization of 25686 in exponential form is:

25686 = 21 × 32 × 14271

Prime Factorization of 25706

Prime factors of 25706 are 2, 12853. Prime factorization of 25706 in exponential form is:

25706 = 21 × 128531

Now multiplying the highest exponent prime factors to calculate the LCM of 25686 and 25706.

LCM(25686,25706) = 21 × 32 × 14271 × 128531
LCM(25686,25706) = 330142158