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What is the Least Common Multiple of 91718 and 91731?

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 91718 and 91731 is 8413383858.

LCM(91718,91731) = 8413383858

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Least Common Multiple of 91718 and 91731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91718 and 91731, than apply into the LCM equation.

GCF(91718,91731) = 1
LCM(91718,91731) = ( 91718 × 91731) / 1
LCM(91718,91731) = 8413383858 / 1
LCM(91718,91731) = 8413383858

Least Common Multiple (LCM) of 91718 and 91731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91718 and 91731. First we will calculate the prime factors of 91718 and 91731.

Prime Factorization of 91718

Prime factors of 91718 are 2, 11, 379. Prime factorization of 91718 in exponential form is:

91718 = 21 × 112 × 3791

Prime Factorization of 91731

Prime factors of 91731 are 3, 30577. Prime factorization of 91731 in exponential form is:

91731 = 31 × 305771

Now multiplying the highest exponent prime factors to calculate the LCM of 91718 and 91731.

LCM(91718,91731) = 21 × 112 × 3791 × 31 × 305771
LCM(91718,91731) = 8413383858