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What is the Least Common Multiple of 8729 and 8735?

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 8729 and 8735 is 76247815.

LCM(8729,8735) = 76247815

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Least Common Multiple of 8729 and 8735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8729 and 8735, than apply into the LCM equation.

GCF(8729,8735) = 1
LCM(8729,8735) = ( 8729 × 8735) / 1
LCM(8729,8735) = 76247815 / 1
LCM(8729,8735) = 76247815

Least Common Multiple (LCM) of 8729 and 8735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8729 and 8735. First we will calculate the prime factors of 8729 and 8735.

Prime Factorization of 8729

Prime factors of 8729 are 7, 29, 43. Prime factorization of 8729 in exponential form is:

8729 = 71 × 291 × 431

Prime Factorization of 8735

Prime factors of 8735 are 5, 1747. Prime factorization of 8735 in exponential form is:

8735 = 51 × 17471

Now multiplying the highest exponent prime factors to calculate the LCM of 8729 and 8735.

LCM(8729,8735) = 71 × 291 × 431 × 51 × 17471
LCM(8729,8735) = 76247815