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What is the Least Common Multiple of 10717 and 10721?

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 10717 and 10721 is 114896957.

LCM(10717,10721) = 114896957

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Least Common Multiple of 10717 and 10721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10717 and 10721, than apply into the LCM equation.

GCF(10717,10721) = 1
LCM(10717,10721) = ( 10717 × 10721) / 1
LCM(10717,10721) = 114896957 / 1
LCM(10717,10721) = 114896957

Least Common Multiple (LCM) of 10717 and 10721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10717 and 10721. First we will calculate the prime factors of 10717 and 10721.

Prime Factorization of 10717

Prime factors of 10717 are 7, 1531. Prime factorization of 10717 in exponential form is:

10717 = 71 × 15311

Prime Factorization of 10721

Prime factors of 10721 are 71, 151. Prime factorization of 10721 in exponential form is:

10721 = 711 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 10717 and 10721.

LCM(10717,10721) = 71 × 15311 × 711 × 1511
LCM(10717,10721) = 114896957