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What is the Least Common Multiple of 10331 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 10331 and 10343 is 106853533.

LCM(10331,10343) = 106853533

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Least Common Multiple of 10331 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 10331 and 10343, than apply into the LCM equation.

GCF(10331,10343) = 1
LCM(10331,10343) = ( 10331 × 10343) / 1
LCM(10331,10343) = 106853533 / 1
LCM(10331,10343) = 106853533

Least Common Multiple (LCM) of 10331 and 10343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10331 and 10343. First we will calculate the prime factors of 10331 and 10343.

Prime Factorization of 10331

Prime factors of 10331 are 10331. Prime factorization of 10331 in exponential form is:

10331 = 103311

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 10331 and 10343.

LCM(10331,10343) = 103311 × 103431
LCM(10331,10343) = 106853533