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What is the Least Common Multiple of 8718 and 8731?

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 8731 is 76116858.

LCM(8718,8731) = 76116858

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Least Common Multiple of 8718 and 8731 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 8731, than apply into the LCM equation.

GCF(8718,8731) = 1
LCM(8718,8731) = ( 8718 × 8731) / 1
LCM(8718,8731) = 76116858 / 1
LCM(8718,8731) = 76116858

Least Common Multiple (LCM) of 8718 and 8731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8718 and 8731. First we will calculate the prime factors of 8718 and 8731.

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 8731

Prime factors of 8731 are 8731. Prime factorization of 8731 in exponential form is:

8731 = 87311

Now multiplying the highest exponent prime factors to calculate the LCM of 8718 and 8731.

LCM(8718,8731) = 21 × 31 × 14531 × 87311
LCM(8718,8731) = 76116858