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What is the Least Common Multiple of 10373 and 10391?

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 10373 and 10391 is 107785843.

LCM(10373,10391) = 107785843

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Least Common Multiple of 10373 and 10391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10373 and 10391, than apply into the LCM equation.

GCF(10373,10391) = 1
LCM(10373,10391) = ( 10373 × 10391) / 1
LCM(10373,10391) = 107785843 / 1
LCM(10373,10391) = 107785843

Least Common Multiple (LCM) of 10373 and 10391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10373 and 10391. First we will calculate the prime factors of 10373 and 10391.

Prime Factorization of 10373

Prime factors of 10373 are 11, 23, 41. Prime factorization of 10373 in exponential form is:

10373 = 111 × 231 × 411

Prime Factorization of 10391

Prime factors of 10391 are 10391. Prime factorization of 10391 in exponential form is:

10391 = 103911

Now multiplying the highest exponent prime factors to calculate the LCM of 10373 and 10391.

LCM(10373,10391) = 111 × 231 × 411 × 103911
LCM(10373,10391) = 107785843