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What is the Least Common Multiple of 8471 and 8489?

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 8471 and 8489 is 71910319.

LCM(8471,8489) = 71910319

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Least Common Multiple of 8471 and 8489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8471 and 8489, than apply into the LCM equation.

GCF(8471,8489) = 1
LCM(8471,8489) = ( 8471 × 8489) / 1
LCM(8471,8489) = 71910319 / 1
LCM(8471,8489) = 71910319

Least Common Multiple (LCM) of 8471 and 8489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8471 and 8489. First we will calculate the prime factors of 8471 and 8489.

Prime Factorization of 8471

Prime factors of 8471 are 43, 197. Prime factorization of 8471 in exponential form is:

8471 = 431 × 1971

Prime Factorization of 8489

Prime factors of 8489 are 13, 653. Prime factorization of 8489 in exponential form is:

8489 = 131 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 8471 and 8489.

LCM(8471,8489) = 431 × 1971 × 131 × 6531
LCM(8471,8489) = 71910319