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What is the Least Common Multiple of 8338 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 8338 and 8356 is 34836164.

LCM(8338,8356) = 34836164

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Least Common Multiple of 8338 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 8338 and 8356, than apply into the LCM equation.

GCF(8338,8356) = 2
LCM(8338,8356) = ( 8338 × 8356) / 2
LCM(8338,8356) = 69672328 / 2
LCM(8338,8356) = 34836164

Least Common Multiple (LCM) of 8338 and 8356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8338 and 8356. First we will calculate the prime factors of 8338 and 8356.

Prime Factorization of 8338

Prime factors of 8338 are 2, 11, 379. Prime factorization of 8338 in exponential form is:

8338 = 21 × 111 × 3791

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 8338 and 8356.

LCM(8338,8356) = 22 × 111 × 3791 × 20891
LCM(8338,8356) = 34836164