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What is the Least Common Multiple of 25774 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 25774 and 25790 is 332355730.

LCM(25774,25790) = 332355730

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Least Common Multiple of 25774 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 25774 and 25790, than apply into the LCM equation.

GCF(25774,25790) = 2
LCM(25774,25790) = ( 25774 × 25790) / 2
LCM(25774,25790) = 664711460 / 2
LCM(25774,25790) = 332355730

Least Common Multiple (LCM) of 25774 and 25790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25774 and 25790. First we will calculate the prime factors of 25774 and 25790.

Prime Factorization of 25774

Prime factors of 25774 are 2, 7, 263. Prime factorization of 25774 in exponential form is:

25774 = 21 × 72 × 2631

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 25774 and 25790.

LCM(25774,25790) = 21 × 72 × 2631 × 51 × 25791
LCM(25774,25790) = 332355730