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What is the Least Common Multiple of 8707 and 8718?

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 8707 and 8718 is 75907626.

LCM(8707,8718) = 75907626

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Least Common Multiple of 8707 and 8718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8707 and 8718, than apply into the LCM equation.

GCF(8707,8718) = 1
LCM(8707,8718) = ( 8707 × 8718) / 1
LCM(8707,8718) = 75907626 / 1
LCM(8707,8718) = 75907626

Least Common Multiple (LCM) of 8707 and 8718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8707 and 8718. First we will calculate the prime factors of 8707 and 8718.

Prime Factorization of 8707

Prime factors of 8707 are 8707. Prime factorization of 8707 in exponential form is:

8707 = 87071

Prime Factorization of 8718

Prime factors of 8718 are 2, 3, 1453. Prime factorization of 8718 in exponential form is:

8718 = 21 × 31 × 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 8707 and 8718.

LCM(8707,8718) = 87071 × 21 × 31 × 14531
LCM(8707,8718) = 75907626