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What is the Least Common Multiple of 6471 and 6482?

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 6471 and 6482 is 41945022.

LCM(6471,6482) = 41945022

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Least Common Multiple of 6471 and 6482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6471 and 6482, than apply into the LCM equation.

GCF(6471,6482) = 1
LCM(6471,6482) = ( 6471 × 6482) / 1
LCM(6471,6482) = 41945022 / 1
LCM(6471,6482) = 41945022

Least Common Multiple (LCM) of 6471 and 6482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6471 and 6482. First we will calculate the prime factors of 6471 and 6482.

Prime Factorization of 6471

Prime factors of 6471 are 3, 719. Prime factorization of 6471 in exponential form is:

6471 = 32 × 7191

Prime Factorization of 6482

Prime factors of 6482 are 2, 7, 463. Prime factorization of 6482 in exponential form is:

6482 = 21 × 71 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 6471 and 6482.

LCM(6471,6482) = 32 × 7191 × 21 × 71 × 4631
LCM(6471,6482) = 41945022