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What is the Least Common Multiple of 10832 and 10841?

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 10832 and 10841 is 117429712.

LCM(10832,10841) = 117429712

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Least Common Multiple of 10832 and 10841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10832 and 10841, than apply into the LCM equation.

GCF(10832,10841) = 1
LCM(10832,10841) = ( 10832 × 10841) / 1
LCM(10832,10841) = 117429712 / 1
LCM(10832,10841) = 117429712

Least Common Multiple (LCM) of 10832 and 10841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10832 and 10841. First we will calculate the prime factors of 10832 and 10841.

Prime Factorization of 10832

Prime factors of 10832 are 2, 677. Prime factorization of 10832 in exponential form is:

10832 = 24 × 6771

Prime Factorization of 10841

Prime factors of 10841 are 37, 293. Prime factorization of 10841 in exponential form is:

10841 = 371 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 10832 and 10841.

LCM(10832,10841) = 24 × 6771 × 371 × 2931
LCM(10832,10841) = 117429712