GCF and LCM Calculator Logo

What is the Least Common Multiple of 8339 and 8356?

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 8339 and 8356 is 69680684.

LCM(8339,8356) = 69680684

LCM Calculator and
and

Least Common Multiple of 8339 and 8356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8339 and 8356, than apply into the LCM equation.

GCF(8339,8356) = 1
LCM(8339,8356) = ( 8339 × 8356) / 1
LCM(8339,8356) = 69680684 / 1
LCM(8339,8356) = 69680684

Least Common Multiple (LCM) of 8339 and 8356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8339 and 8356. First we will calculate the prime factors of 8339 and 8356.

Prime Factorization of 8339

Prime factors of 8339 are 31, 269. Prime factorization of 8339 in exponential form is:

8339 = 311 × 2691

Prime Factorization of 8356

Prime factors of 8356 are 2, 2089. Prime factorization of 8356 in exponential form is:

8356 = 22 × 20891

Now multiplying the highest exponent prime factors to calculate the LCM of 8339 and 8356.

LCM(8339,8356) = 311 × 2691 × 22 × 20891
LCM(8339,8356) = 69680684