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What is the Least Common Multiple of 65806 and 65812?

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 65806 and 65812 is 2165412236.

LCM(65806,65812) = 2165412236

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Least Common Multiple of 65806 and 65812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65806 and 65812, than apply into the LCM equation.

GCF(65806,65812) = 2
LCM(65806,65812) = ( 65806 × 65812) / 2
LCM(65806,65812) = 4330824472 / 2
LCM(65806,65812) = 2165412236

Least Common Multiple (LCM) of 65806 and 65812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65806 and 65812. First we will calculate the prime factors of 65806 and 65812.

Prime Factorization of 65806

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

65806 = 21 × 131 × 25311

Prime Factorization of 65812

Prime factors of 65812 are 2, 16453. Prime factorization of 65812 in exponential form is:

65812 = 22 × 164531

Now multiplying the highest exponent prime factors to calculate the LCM of 65806 and 65812.

LCM(65806,65812) = 22 × 131 × 25311 × 164531
LCM(65806,65812) = 2165412236