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What is the Least Common Multiple of 91373 and 91382?

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 91373 and 91382 is 8349847486.

LCM(91373,91382) = 8349847486

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Least Common Multiple of 91373 and 91382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91373 and 91382, than apply into the LCM equation.

GCF(91373,91382) = 1
LCM(91373,91382) = ( 91373 × 91382) / 1
LCM(91373,91382) = 8349847486 / 1
LCM(91373,91382) = 8349847486

Least Common Multiple (LCM) of 91373 and 91382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91373 and 91382. First we will calculate the prime factors of 91373 and 91382.

Prime Factorization of 91373

Prime factors of 91373 are 91373. Prime factorization of 91373 in exponential form is:

91373 = 913731

Prime Factorization of 91382

Prime factors of 91382 are 2, 45691. Prime factorization of 91382 in exponential form is:

91382 = 21 × 456911

Now multiplying the highest exponent prime factors to calculate the LCM of 91373 and 91382.

LCM(91373,91382) = 913731 × 21 × 456911
LCM(91373,91382) = 8349847486