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What is the Least Common Multiple of 91713 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 91713 and 91731 is 2804308401.

LCM(91713,91731) = 2804308401

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Least Common Multiple of 91713 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 91713 and 91731, than apply into the LCM equation.

GCF(91713,91731) = 3
LCM(91713,91731) = ( 91713 × 91731) / 3
LCM(91713,91731) = 8412925203 / 3
LCM(91713,91731) = 2804308401

Least Common Multiple (LCM) of 91713 and 91731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91713 and 91731. First we will calculate the prime factors of 91713 and 91731.

Prime Factorization of 91713

Prime factors of 91713 are 3, 19, 1609. Prime factorization of 91713 in exponential form is:

91713 = 31 × 191 × 16091

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 91713 and 91731.

LCM(91713,91731) = 31 × 191 × 16091 × 305771
LCM(91713,91731) = 2804308401