GCF and LCM Calculator Logo

What is the Least Common Multiple of 65791 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 65791 and 65806 is 4329442546.

LCM(65791,65806) = 4329442546

LCM Calculator and
and

Least Common Multiple of 65791 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 65791 and 65806, than apply into the LCM equation.

GCF(65791,65806) = 1
LCM(65791,65806) = ( 65791 × 65806) / 1
LCM(65791,65806) = 4329442546 / 1
LCM(65791,65806) = 4329442546

Least Common Multiple (LCM) of 65791 and 65806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65791 and 65806. First we will calculate the prime factors of 65791 and 65806.

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 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 65791 and 65806.

LCM(65791,65806) = 111 × 59811 × 21 × 131 × 25311
LCM(65791,65806) = 4329442546