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What is the Least Common Multiple of 65801 and 65806?

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 65801 and 65806 is 4330100606.

LCM(65801,65806) = 4330100606

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Least Common Multiple of 65801 and 65806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65801 and 65806, than apply into the LCM equation.

GCF(65801,65806) = 1
LCM(65801,65806) = ( 65801 × 65806) / 1
LCM(65801,65806) = 4330100606 / 1
LCM(65801,65806) = 4330100606

Least Common Multiple (LCM) of 65801 and 65806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65801 and 65806. First we will calculate the prime factors of 65801 and 65806.

Prime Factorization of 65801

Prime factors of 65801 are 29, 2269. Prime factorization of 65801 in exponential form is:

65801 = 291 × 22691

Prime Factorization of 65806

Prime factors of 65806 are 2, 13, 2531. Prime factorization of 65806 in exponential form is:

65806 = 21 × 131 × 25311

Now multiplying the highest exponent prime factors to calculate the LCM of 65801 and 65806.

LCM(65801,65806) = 291 × 22691 × 21 × 131 × 25311
LCM(65801,65806) = 4330100606