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What is the Least Common Multiple of 91743 and 91747?

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 91743 and 91747 is 8417145021.

LCM(91743,91747) = 8417145021

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Least Common Multiple of 91743 and 91747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91743 and 91747, than apply into the LCM equation.

GCF(91743,91747) = 1
LCM(91743,91747) = ( 91743 × 91747) / 1
LCM(91743,91747) = 8417145021 / 1
LCM(91743,91747) = 8417145021

Least Common Multiple (LCM) of 91743 and 91747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91743 and 91747. First we will calculate the prime factors of 91743 and 91747.

Prime Factorization of 91743

Prime factors of 91743 are 3, 53, 577. Prime factorization of 91743 in exponential form is:

91743 = 31 × 531 × 5771

Prime Factorization of 91747

Prime factors of 91747 are 23, 3989. Prime factorization of 91747 in exponential form is:

91747 = 231 × 39891

Now multiplying the highest exponent prime factors to calculate the LCM of 91743 and 91747.

LCM(91743,91747) = 31 × 531 × 5771 × 231 × 39891
LCM(91743,91747) = 8417145021