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What is the Least Common Multiple of 10717 and 10728?

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 10728 is 114971976.

LCM(10717,10728) = 114971976

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Least Common Multiple of 10717 and 10728 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 10728, than apply into the LCM equation.

GCF(10717,10728) = 1
LCM(10717,10728) = ( 10717 × 10728) / 1
LCM(10717,10728) = 114971976 / 1
LCM(10717,10728) = 114971976

Least Common Multiple (LCM) of 10717 and 10728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10717 and 10728. First we will calculate the prime factors of 10717 and 10728.

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 10728

Prime factors of 10728 are 2, 3, 149. Prime factorization of 10728 in exponential form is:

10728 = 23 × 32 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 10717 and 10728.

LCM(10717,10728) = 71 × 15311 × 23 × 32 × 1491
LCM(10717,10728) = 114971976