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What is the Least Common Multiple of 10883 and 10894?

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 10883 and 10894 is 118559402.

LCM(10883,10894) = 118559402

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Least Common Multiple of 10883 and 10894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10883 and 10894, than apply into the LCM equation.

GCF(10883,10894) = 1
LCM(10883,10894) = ( 10883 × 10894) / 1
LCM(10883,10894) = 118559402 / 1
LCM(10883,10894) = 118559402

Least Common Multiple (LCM) of 10883 and 10894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10883 and 10894. First we will calculate the prime factors of 10883 and 10894.

Prime Factorization of 10883

Prime factors of 10883 are 10883. Prime factorization of 10883 in exponential form is:

10883 = 108831

Prime Factorization of 10894

Prime factors of 10894 are 2, 13, 419. Prime factorization of 10894 in exponential form is:

10894 = 21 × 131 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 10883 and 10894.

LCM(10883,10894) = 108831 × 21 × 131 × 4191
LCM(10883,10894) = 118559402