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What is the Least Common Multiple of 8294 and 8312?

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 8294 and 8312 is 34469864.

LCM(8294,8312) = 34469864

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Least Common Multiple of 8294 and 8312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8294 and 8312, than apply into the LCM equation.

GCF(8294,8312) = 2
LCM(8294,8312) = ( 8294 × 8312) / 2
LCM(8294,8312) = 68939728 / 2
LCM(8294,8312) = 34469864

Least Common Multiple (LCM) of 8294 and 8312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8294 and 8312. First we will calculate the prime factors of 8294 and 8312.

Prime Factorization of 8294

Prime factors of 8294 are 2, 11, 13, 29. Prime factorization of 8294 in exponential form is:

8294 = 21 × 111 × 131 × 291

Prime Factorization of 8312

Prime factors of 8312 are 2, 1039. Prime factorization of 8312 in exponential form is:

8312 = 23 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 8294 and 8312.

LCM(8294,8312) = 23 × 111 × 131 × 291 × 10391
LCM(8294,8312) = 34469864