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What is the Least Common Multiple of 8323 and 8340?

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 8323 and 8340 is 69413820.

LCM(8323,8340) = 69413820

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Least Common Multiple of 8323 and 8340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8323 and 8340, than apply into the LCM equation.

GCF(8323,8340) = 1
LCM(8323,8340) = ( 8323 × 8340) / 1
LCM(8323,8340) = 69413820 / 1
LCM(8323,8340) = 69413820

Least Common Multiple (LCM) of 8323 and 8340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8323 and 8340. First we will calculate the prime factors of 8323 and 8340.

Prime Factorization of 8323

Prime factors of 8323 are 7, 29, 41. Prime factorization of 8323 in exponential form is:

8323 = 71 × 291 × 411

Prime Factorization of 8340

Prime factors of 8340 are 2, 3, 5, 139. Prime factorization of 8340 in exponential form is:

8340 = 22 × 31 × 51 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 8323 and 8340.

LCM(8323,8340) = 71 × 291 × 411 × 22 × 31 × 51 × 1391
LCM(8323,8340) = 69413820