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What is the Least Common Multiple of 8671 and 8680?

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 8671 and 8680 is 75264280.

LCM(8671,8680) = 75264280

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Least Common Multiple of 8671 and 8680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8671 and 8680, than apply into the LCM equation.

GCF(8671,8680) = 1
LCM(8671,8680) = ( 8671 × 8680) / 1
LCM(8671,8680) = 75264280 / 1
LCM(8671,8680) = 75264280

Least Common Multiple (LCM) of 8671 and 8680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8671 and 8680. First we will calculate the prime factors of 8671 and 8680.

Prime Factorization of 8671

Prime factors of 8671 are 13, 23, 29. Prime factorization of 8671 in exponential form is:

8671 = 131 × 231 × 291

Prime Factorization of 8680

Prime factors of 8680 are 2, 5, 7, 31. Prime factorization of 8680 in exponential form is:

8680 = 23 × 51 × 71 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 8671 and 8680.

LCM(8671,8680) = 131 × 231 × 291 × 23 × 51 × 71 × 311
LCM(8671,8680) = 75264280