GCF and LCM Calculator Logo

What is the Least Common Multiple of 8116 and 8123?

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 8116 and 8123 is 65926268.

LCM(8116,8123) = 65926268

LCM Calculator and
and

Least Common Multiple of 8116 and 8123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8116 and 8123, than apply into the LCM equation.

GCF(8116,8123) = 1
LCM(8116,8123) = ( 8116 × 8123) / 1
LCM(8116,8123) = 65926268 / 1
LCM(8116,8123) = 65926268

Least Common Multiple (LCM) of 8116 and 8123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8116 and 8123. First we will calculate the prime factors of 8116 and 8123.

Prime Factorization of 8116

Prime factors of 8116 are 2, 2029. Prime factorization of 8116 in exponential form is:

8116 = 22 × 20291

Prime Factorization of 8123

Prime factors of 8123 are 8123. Prime factorization of 8123 in exponential form is:

8123 = 81231

Now multiplying the highest exponent prime factors to calculate the LCM of 8116 and 8123.

LCM(8116,8123) = 22 × 20291 × 81231
LCM(8116,8123) = 65926268