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What is the Least Common Multiple of 25780 and 25790?

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 25780 and 25790 is 66486620.

LCM(25780,25790) = 66486620

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Least Common Multiple of 25780 and 25790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25780 and 25790, than apply into the LCM equation.

GCF(25780,25790) = 10
LCM(25780,25790) = ( 25780 × 25790) / 10
LCM(25780,25790) = 664866200 / 10
LCM(25780,25790) = 66486620

Least Common Multiple (LCM) of 25780 and 25790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25780 and 25790. First we will calculate the prime factors of 25780 and 25790.

Prime Factorization of 25780

Prime factors of 25780 are 2, 5, 1289. Prime factorization of 25780 in exponential form is:

25780 = 22 × 51 × 12891

Prime Factorization of 25790

Prime factors of 25790 are 2, 5, 2579. Prime factorization of 25790 in exponential form is:

25790 = 21 × 51 × 25791

Now multiplying the highest exponent prime factors to calculate the LCM of 25780 and 25790.

LCM(25780,25790) = 22 × 51 × 12891 × 25791
LCM(25780,25790) = 66486620