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What is the Least Common Multiple of 10389 and 10394?

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 10389 and 10394 is 107983266.

LCM(10389,10394) = 107983266

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Least Common Multiple of 10389 and 10394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10389 and 10394, than apply into the LCM equation.

GCF(10389,10394) = 1
LCM(10389,10394) = ( 10389 × 10394) / 1
LCM(10389,10394) = 107983266 / 1
LCM(10389,10394) = 107983266

Least Common Multiple (LCM) of 10389 and 10394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10389 and 10394. First we will calculate the prime factors of 10389 and 10394.

Prime Factorization of 10389

Prime factors of 10389 are 3, 3463. Prime factorization of 10389 in exponential form is:

10389 = 31 × 34631

Prime Factorization of 10394

Prime factors of 10394 are 2, 5197. Prime factorization of 10394 in exponential form is:

10394 = 21 × 51971

Now multiplying the highest exponent prime factors to calculate the LCM of 10389 and 10394.

LCM(10389,10394) = 31 × 34631 × 21 × 51971
LCM(10389,10394) = 107983266