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What is the Least Common Multiple of 91681 and 91687?

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 91681 and 91687 is 8405955847.

LCM(91681,91687) = 8405955847

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Least Common Multiple of 91681 and 91687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91681 and 91687, than apply into the LCM equation.

GCF(91681,91687) = 1
LCM(91681,91687) = ( 91681 × 91687) / 1
LCM(91681,91687) = 8405955847 / 1
LCM(91681,91687) = 8405955847

Least Common Multiple (LCM) of 91681 and 91687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91681 and 91687. First we will calculate the prime factors of 91681 and 91687.

Prime Factorization of 91681

Prime factors of 91681 are 17, 5393. Prime factorization of 91681 in exponential form is:

91681 = 171 × 53931

Prime Factorization of 91687

Prime factors of 91687 are 277, 331. Prime factorization of 91687 in exponential form is:

91687 = 2771 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 91681 and 91687.

LCM(91681,91687) = 171 × 53931 × 2771 × 3311
LCM(91681,91687) = 8405955847