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What is the Least Common Multiple of 8718 and 8733?

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 8733 is 25378098.

LCM(8718,8733) = 25378098

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Least Common Multiple of 8718 and 8733 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 8733, than apply into the LCM equation.

GCF(8718,8733) = 3
LCM(8718,8733) = ( 8718 × 8733) / 3
LCM(8718,8733) = 76134294 / 3
LCM(8718,8733) = 25378098

Least Common Multiple (LCM) of 8718 and 8733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8718 and 8733. First we will calculate the prime factors of 8718 and 8733.

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 8733

Prime factors of 8733 are 3, 41, 71. Prime factorization of 8733 in exponential form is:

8733 = 31 × 411 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 8718 and 8733.

LCM(8718,8733) = 21 × 31 × 14531 × 411 × 711
LCM(8718,8733) = 25378098