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What is the Least Common Multiple of 25396 and 25412?

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 25396 and 25412 is 161340788.

LCM(25396,25412) = 161340788

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Least Common Multiple of 25396 and 25412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25396 and 25412, than apply into the LCM equation.

GCF(25396,25412) = 4
LCM(25396,25412) = ( 25396 × 25412) / 4
LCM(25396,25412) = 645363152 / 4
LCM(25396,25412) = 161340788

Least Common Multiple (LCM) of 25396 and 25412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25396 and 25412. First we will calculate the prime factors of 25396 and 25412.

Prime Factorization of 25396

Prime factors of 25396 are 2, 7, 907. Prime factorization of 25396 in exponential form is:

25396 = 22 × 71 × 9071

Prime Factorization of 25412

Prime factors of 25412 are 2, 6353. Prime factorization of 25412 in exponential form is:

25412 = 22 × 63531

Now multiplying the highest exponent prime factors to calculate the LCM of 25396 and 25412.

LCM(25396,25412) = 22 × 71 × 9071 × 63531
LCM(25396,25412) = 161340788