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What is the Least Common Multiple of 65791 and 65807?

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 65791 and 65807 is 4329508337.

LCM(65791,65807) = 4329508337

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Least Common Multiple of 65791 and 65807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65791 and 65807, than apply into the LCM equation.

GCF(65791,65807) = 1
LCM(65791,65807) = ( 65791 × 65807) / 1
LCM(65791,65807) = 4329508337 / 1
LCM(65791,65807) = 4329508337

Least Common Multiple (LCM) of 65791 and 65807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65791 and 65807. First we will calculate the prime factors of 65791 and 65807.

Prime Factorization of 65791

Prime factors of 65791 are 11, 5981. Prime factorization of 65791 in exponential form is:

65791 = 111 × 59811

Prime Factorization of 65807

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

65807 = 72 × 171 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 65791 and 65807.

LCM(65791,65807) = 111 × 59811 × 72 × 171 × 791
LCM(65791,65807) = 4329508337