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What is the Least Common Multiple of 65807 and 65819?

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 65807 and 65819 is 4331350933.

LCM(65807,65819) = 4331350933

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Least Common Multiple of 65807 and 65819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65807 and 65819, than apply into the LCM equation.

GCF(65807,65819) = 1
LCM(65807,65819) = ( 65807 × 65819) / 1
LCM(65807,65819) = 4331350933 / 1
LCM(65807,65819) = 4331350933

Least Common Multiple (LCM) of 65807 and 65819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65807 and 65819. First we will calculate the prime factors of 65807 and 65819.

Prime Factorization of 65807

Prime factors of 65807 are 7, 17, 79. Prime factorization of 65807 in exponential form is:

65807 = 72 × 171 × 791

Prime Factorization of 65819

Prime factors of 65819 are 13, 61, 83. Prime factorization of 65819 in exponential form is:

65819 = 131 × 611 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 65807 and 65819.

LCM(65807,65819) = 72 × 171 × 791 × 131 × 611 × 831
LCM(65807,65819) = 4331350933