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What is the Least Common Multiple of 8294 and 8303?

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 8303 is 68865082.

LCM(8294,8303) = 68865082

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Least Common Multiple of 8294 and 8303 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 8303, than apply into the LCM equation.

GCF(8294,8303) = 1
LCM(8294,8303) = ( 8294 × 8303) / 1
LCM(8294,8303) = 68865082 / 1
LCM(8294,8303) = 68865082

Least Common Multiple (LCM) of 8294 and 8303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8294 and 8303. First we will calculate the prime factors of 8294 and 8303.

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 8303

Prime factors of 8303 are 19, 23. Prime factorization of 8303 in exponential form is:

8303 = 192 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 8294 and 8303.

LCM(8294,8303) = 21 × 111 × 131 × 291 × 192 × 231
LCM(8294,8303) = 68865082