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What is the Least Common Multiple of 6814 and 6831?

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 6814 and 6831 is 46546434.

LCM(6814,6831) = 46546434

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Least Common Multiple of 6814 and 6831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6814 and 6831, than apply into the LCM equation.

GCF(6814,6831) = 1
LCM(6814,6831) = ( 6814 × 6831) / 1
LCM(6814,6831) = 46546434 / 1
LCM(6814,6831) = 46546434

Least Common Multiple (LCM) of 6814 and 6831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6814 and 6831. First we will calculate the prime factors of 6814 and 6831.

Prime Factorization of 6814

Prime factors of 6814 are 2, 3407. Prime factorization of 6814 in exponential form is:

6814 = 21 × 34071

Prime Factorization of 6831

Prime factors of 6831 are 3, 11, 23. Prime factorization of 6831 in exponential form is:

6831 = 33 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 6814 and 6831.

LCM(6814,6831) = 21 × 34071 × 33 × 111 × 231
LCM(6814,6831) = 46546434