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What is the Least Common Multiple of 91357 and 91375?

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 91357 and 91375 is 8347745875.

LCM(91357,91375) = 8347745875

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Least Common Multiple of 91357 and 91375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91357 and 91375, than apply into the LCM equation.

GCF(91357,91375) = 1
LCM(91357,91375) = ( 91357 × 91375) / 1
LCM(91357,91375) = 8347745875 / 1
LCM(91357,91375) = 8347745875

Least Common Multiple (LCM) of 91357 and 91375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91357 and 91375. First we will calculate the prime factors of 91357 and 91375.

Prime Factorization of 91357

Prime factors of 91357 are 7, 31, 421. Prime factorization of 91357 in exponential form is:

91357 = 71 × 311 × 4211

Prime Factorization of 91375

Prime factors of 91375 are 5, 17, 43. Prime factorization of 91375 in exponential form is:

91375 = 53 × 171 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 91357 and 91375.

LCM(91357,91375) = 71 × 311 × 4211 × 53 × 171 × 431
LCM(91357,91375) = 8347745875