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What is the Least Common Multiple of 8394 and 8404?

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 8394 and 8404 is 35271588.

LCM(8394,8404) = 35271588

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Least Common Multiple of 8394 and 8404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8394 and 8404, than apply into the LCM equation.

GCF(8394,8404) = 2
LCM(8394,8404) = ( 8394 × 8404) / 2
LCM(8394,8404) = 70543176 / 2
LCM(8394,8404) = 35271588

Least Common Multiple (LCM) of 8394 and 8404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8394 and 8404. First we will calculate the prime factors of 8394 and 8404.

Prime Factorization of 8394

Prime factors of 8394 are 2, 3, 1399. Prime factorization of 8394 in exponential form is:

8394 = 21 × 31 × 13991

Prime Factorization of 8404

Prime factors of 8404 are 2, 11, 191. Prime factorization of 8404 in exponential form is:

8404 = 22 × 111 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 8394 and 8404.

LCM(8394,8404) = 22 × 31 × 13991 × 111 × 1911
LCM(8394,8404) = 35271588