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What is the Least Common Multiple of 6440 and 6447?

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 6440 and 6447 is 5931240.

LCM(6440,6447) = 5931240

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Least Common Multiple of 6440 and 6447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6440 and 6447, than apply into the LCM equation.

GCF(6440,6447) = 7
LCM(6440,6447) = ( 6440 × 6447) / 7
LCM(6440,6447) = 41518680 / 7
LCM(6440,6447) = 5931240

Least Common Multiple (LCM) of 6440 and 6447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6440 and 6447. First we will calculate the prime factors of 6440 and 6447.

Prime Factorization of 6440

Prime factors of 6440 are 2, 5, 7, 23. Prime factorization of 6440 in exponential form is:

6440 = 23 × 51 × 71 × 231

Prime Factorization of 6447

Prime factors of 6447 are 3, 7, 307. Prime factorization of 6447 in exponential form is:

6447 = 31 × 71 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 6440 and 6447.

LCM(6440,6447) = 23 × 51 × 71 × 231 × 31 × 3071
LCM(6440,6447) = 5931240