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What is the Least Common Multiple of 6906 and 6923?

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 6906 and 6923 is 47810238.

LCM(6906,6923) = 47810238

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Least Common Multiple of 6906 and 6923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6906 and 6923, than apply into the LCM equation.

GCF(6906,6923) = 1
LCM(6906,6923) = ( 6906 × 6923) / 1
LCM(6906,6923) = 47810238 / 1
LCM(6906,6923) = 47810238

Least Common Multiple (LCM) of 6906 and 6923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6906 and 6923. First we will calculate the prime factors of 6906 and 6923.

Prime Factorization of 6906

Prime factors of 6906 are 2, 3, 1151. Prime factorization of 6906 in exponential form is:

6906 = 21 × 31 × 11511

Prime Factorization of 6923

Prime factors of 6923 are 7, 23, 43. Prime factorization of 6923 in exponential form is:

6923 = 71 × 231 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 6906 and 6923.

LCM(6906,6923) = 21 × 31 × 11511 × 71 × 231 × 431
LCM(6906,6923) = 47810238