GCF and LCM Calculator Logo

What is the Least Common Multiple of 8105 and 8113?

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 8105 and 8113 is 65755865.

LCM(8105,8113) = 65755865

LCM Calculator and
and

Least Common Multiple of 8105 and 8113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8105 and 8113, than apply into the LCM equation.

GCF(8105,8113) = 1
LCM(8105,8113) = ( 8105 × 8113) / 1
LCM(8105,8113) = 65755865 / 1
LCM(8105,8113) = 65755865

Least Common Multiple (LCM) of 8105 and 8113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8105 and 8113. First we will calculate the prime factors of 8105 and 8113.

Prime Factorization of 8105

Prime factors of 8105 are 5, 1621. Prime factorization of 8105 in exponential form is:

8105 = 51 × 16211

Prime Factorization of 8113

Prime factors of 8113 are 7, 19, 61. Prime factorization of 8113 in exponential form is:

8113 = 71 × 191 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 8105 and 8113.

LCM(8105,8113) = 51 × 16211 × 71 × 191 × 611
LCM(8105,8113) = 65755865