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What is the Least Common Multiple of 91706 and 91724?

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 91706 and 91724 is 4205820572.

LCM(91706,91724) = 4205820572

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Least Common Multiple of 91706 and 91724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91706 and 91724, than apply into the LCM equation.

GCF(91706,91724) = 2
LCM(91706,91724) = ( 91706 × 91724) / 2
LCM(91706,91724) = 8411641144 / 2
LCM(91706,91724) = 4205820572

Least Common Multiple (LCM) of 91706 and 91724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91706 and 91724. First we will calculate the prime factors of 91706 and 91724.

Prime Factorization of 91706

Prime factors of 91706 are 2, 45853. Prime factorization of 91706 in exponential form is:

91706 = 21 × 458531

Prime Factorization of 91724

Prime factors of 91724 are 2, 23, 997. Prime factorization of 91724 in exponential form is:

91724 = 22 × 231 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 91706 and 91724.

LCM(91706,91724) = 22 × 458531 × 231 × 9971
LCM(91706,91724) = 4205820572