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What is the Least Common Multiple of 5706 and 5726?

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 5706 and 5726 is 16336278.

LCM(5706,5726) = 16336278

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Least Common Multiple of 5706 and 5726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5706 and 5726, than apply into the LCM equation.

GCF(5706,5726) = 2
LCM(5706,5726) = ( 5706 × 5726) / 2
LCM(5706,5726) = 32672556 / 2
LCM(5706,5726) = 16336278

Least Common Multiple (LCM) of 5706 and 5726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5706 and 5726. First we will calculate the prime factors of 5706 and 5726.

Prime Factorization of 5706

Prime factors of 5706 are 2, 3, 317. Prime factorization of 5706 in exponential form is:

5706 = 21 × 32 × 3171

Prime Factorization of 5726

Prime factors of 5726 are 2, 7, 409. Prime factorization of 5726 in exponential form is:

5726 = 21 × 71 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 5706 and 5726.

LCM(5706,5726) = 21 × 32 × 3171 × 71 × 4091
LCM(5706,5726) = 16336278