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What is the Least Common Multiple of 7709 and 7717?

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 7709 and 7717 is 59490353.

LCM(7709,7717) = 59490353

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Least Common Multiple of 7709 and 7717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7709 and 7717, than apply into the LCM equation.

GCF(7709,7717) = 1
LCM(7709,7717) = ( 7709 × 7717) / 1
LCM(7709,7717) = 59490353 / 1
LCM(7709,7717) = 59490353

Least Common Multiple (LCM) of 7709 and 7717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7709 and 7717. First we will calculate the prime factors of 7709 and 7717.

Prime Factorization of 7709

Prime factors of 7709 are 13, 593. Prime factorization of 7709 in exponential form is:

7709 = 131 × 5931

Prime Factorization of 7717

Prime factors of 7717 are 7717. Prime factorization of 7717 in exponential form is:

7717 = 77171

Now multiplying the highest exponent prime factors to calculate the LCM of 7709 and 7717.

LCM(7709,7717) = 131 × 5931 × 77171
LCM(7709,7717) = 59490353