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What is the Least Common Multiple of 8294 and 8301?

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 8301 is 68848494.

LCM(8294,8301) = 68848494

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Least Common Multiple of 8294 and 8301 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 8301, than apply into the LCM equation.

GCF(8294,8301) = 1
LCM(8294,8301) = ( 8294 × 8301) / 1
LCM(8294,8301) = 68848494 / 1
LCM(8294,8301) = 68848494

Least Common Multiple (LCM) of 8294 and 8301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8294 and 8301. First we will calculate the prime factors of 8294 and 8301.

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 8301

Prime factors of 8301 are 3, 2767. Prime factorization of 8301 in exponential form is:

8301 = 31 × 27671

Now multiplying the highest exponent prime factors to calculate the LCM of 8294 and 8301.

LCM(8294,8301) = 21 × 111 × 131 × 291 × 31 × 27671
LCM(8294,8301) = 68848494