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What is the Least Common Multiple of 66505 and 66517?

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 66505 and 66517 is 4423713085.

LCM(66505,66517) = 4423713085

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Least Common Multiple of 66505 and 66517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66505 and 66517, than apply into the LCM equation.

GCF(66505,66517) = 1
LCM(66505,66517) = ( 66505 × 66517) / 1
LCM(66505,66517) = 4423713085 / 1
LCM(66505,66517) = 4423713085

Least Common Multiple (LCM) of 66505 and 66517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66505 and 66517. First we will calculate the prime factors of 66505 and 66517.

Prime Factorization of 66505

Prime factors of 66505 are 5, 47, 283. Prime factorization of 66505 in exponential form is:

66505 = 51 × 471 × 2831

Prime Factorization of 66517

Prime factors of 66517 are 11, 6047. Prime factorization of 66517 in exponential form is:

66517 = 111 × 60471

Now multiplying the highest exponent prime factors to calculate the LCM of 66505 and 66517.

LCM(66505,66517) = 51 × 471 × 2831 × 111 × 60471
LCM(66505,66517) = 4423713085