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What is the Least Common Multiple of 8709 and 8715?

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 8709 and 8715 is 25299645.

LCM(8709,8715) = 25299645

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Least Common Multiple of 8709 and 8715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8709 and 8715, than apply into the LCM equation.

GCF(8709,8715) = 3
LCM(8709,8715) = ( 8709 × 8715) / 3
LCM(8709,8715) = 75898935 / 3
LCM(8709,8715) = 25299645

Least Common Multiple (LCM) of 8709 and 8715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8709 and 8715. First we will calculate the prime factors of 8709 and 8715.

Prime Factorization of 8709

Prime factors of 8709 are 3, 2903. Prime factorization of 8709 in exponential form is:

8709 = 31 × 29031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8709 and 8715.

LCM(8709,8715) = 31 × 29031 × 51 × 71 × 831
LCM(8709,8715) = 25299645