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What is the Least Common Multiple of 8715 and 8729?

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 8715 and 8729 is 10867605.

LCM(8715,8729) = 10867605

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Least Common Multiple of 8715 and 8729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8715 and 8729, than apply into the LCM equation.

GCF(8715,8729) = 7
LCM(8715,8729) = ( 8715 × 8729) / 7
LCM(8715,8729) = 76073235 / 7
LCM(8715,8729) = 10867605

Least Common Multiple (LCM) of 8715 and 8729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8715 and 8729. First we will calculate the prime factors of 8715 and 8729.

Prime Factorization of 8715

Prime factors of 8715 are 3, 5, 7, 83. Prime factorization of 8715 in exponential form is:

8715 = 31 × 51 × 71 × 831

Prime Factorization of 8729

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

8729 = 71 × 291 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 8715 and 8729.

LCM(8715,8729) = 31 × 51 × 71 × 831 × 291 × 431
LCM(8715,8729) = 10867605