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What is the Least Common Multiple of 8718 and 8734?

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 8718 and 8734 is 38071506.

LCM(8718,8734) = 38071506

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Least Common Multiple of 8718 and 8734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8718 and 8734, than apply into the LCM equation.

GCF(8718,8734) = 2
LCM(8718,8734) = ( 8718 × 8734) / 2
LCM(8718,8734) = 76143012 / 2
LCM(8718,8734) = 38071506

Least Common Multiple (LCM) of 8718 and 8734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8718 and 8734. First we will calculate the prime factors of 8718 and 8734.

Prime Factorization of 8718

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

8718 = 21 × 31 × 14531

Prime Factorization of 8734

Prime factors of 8734 are 2, 11, 397. Prime factorization of 8734 in exponential form is:

8734 = 21 × 111 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 8718 and 8734.

LCM(8718,8734) = 21 × 31 × 14531 × 111 × 3971
LCM(8718,8734) = 38071506