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What is the Least Common Multiple of 10659 and 10666?

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 10659 and 10666 is 113688894.

LCM(10659,10666) = 113688894

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Least Common Multiple of 10659 and 10666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10659 and 10666, than apply into the LCM equation.

GCF(10659,10666) = 1
LCM(10659,10666) = ( 10659 × 10666) / 1
LCM(10659,10666) = 113688894 / 1
LCM(10659,10666) = 113688894

Least Common Multiple (LCM) of 10659 and 10666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10659 and 10666. First we will calculate the prime factors of 10659 and 10666.

Prime Factorization of 10659

Prime factors of 10659 are 3, 11, 17, 19. Prime factorization of 10659 in exponential form is:

10659 = 31 × 111 × 171 × 191

Prime Factorization of 10666

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

10666 = 21 × 53331

Now multiplying the highest exponent prime factors to calculate the LCM of 10659 and 10666.

LCM(10659,10666) = 31 × 111 × 171 × 191 × 21 × 53331
LCM(10659,10666) = 113688894