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What is the Least Common Multiple of 6806 and 6811?

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 6806 and 6811 is 46355666.

LCM(6806,6811) = 46355666

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Least Common Multiple of 6806 and 6811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6806 and 6811, than apply into the LCM equation.

GCF(6806,6811) = 1
LCM(6806,6811) = ( 6806 × 6811) / 1
LCM(6806,6811) = 46355666 / 1
LCM(6806,6811) = 46355666

Least Common Multiple (LCM) of 6806 and 6811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6806 and 6811. First we will calculate the prime factors of 6806 and 6811.

Prime Factorization of 6806

Prime factors of 6806 are 2, 41, 83. Prime factorization of 6806 in exponential form is:

6806 = 21 × 411 × 831

Prime Factorization of 6811

Prime factors of 6811 are 7, 139. Prime factorization of 6811 in exponential form is:

6811 = 72 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 6806 and 6811.

LCM(6806,6811) = 21 × 411 × 831 × 72 × 1391
LCM(6806,6811) = 46355666