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What is the Least Common Multiple of 10329 and 10343?

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 10329 and 10343 is 106832847.

LCM(10329,10343) = 106832847

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Least Common Multiple of 10329 and 10343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10329 and 10343, than apply into the LCM equation.

GCF(10329,10343) = 1
LCM(10329,10343) = ( 10329 × 10343) / 1
LCM(10329,10343) = 106832847 / 1
LCM(10329,10343) = 106832847

Least Common Multiple (LCM) of 10329 and 10343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10329 and 10343. First we will calculate the prime factors of 10329 and 10343.

Prime Factorization of 10329

Prime factors of 10329 are 3, 11, 313. Prime factorization of 10329 in exponential form is:

10329 = 31 × 111 × 3131

Prime Factorization of 10343

Prime factors of 10343 are 10343. Prime factorization of 10343 in exponential form is:

10343 = 103431

Now multiplying the highest exponent prime factors to calculate the LCM of 10329 and 10343.

LCM(10329,10343) = 31 × 111 × 3131 × 103431
LCM(10329,10343) = 106832847