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What is the Least Common Multiple of 10666 and 10686?

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 10666 and 10686 is 56988438.

LCM(10666,10686) = 56988438

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Least Common Multiple of 10666 and 10686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10666 and 10686, than apply into the LCM equation.

GCF(10666,10686) = 2
LCM(10666,10686) = ( 10666 × 10686) / 2
LCM(10666,10686) = 113976876 / 2
LCM(10666,10686) = 56988438

Least Common Multiple (LCM) of 10666 and 10686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10666 and 10686. First we will calculate the prime factors of 10666 and 10686.

Prime Factorization of 10666

Prime factors of 10666 are 2, 5333. Prime factorization of 10666 in exponential form is:

10666 = 21 × 53331

Prime Factorization of 10686

Prime factors of 10686 are 2, 3, 13, 137. Prime factorization of 10686 in exponential form is:

10686 = 21 × 31 × 131 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 10666 and 10686.

LCM(10666,10686) = 21 × 53331 × 31 × 131 × 1371
LCM(10666,10686) = 56988438