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What is the Least Common Multiple of 6904 and 6921?

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 6904 and 6921 is 47782584.

LCM(6904,6921) = 47782584

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Least Common Multiple of 6904 and 6921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6904 and 6921, than apply into the LCM equation.

GCF(6904,6921) = 1
LCM(6904,6921) = ( 6904 × 6921) / 1
LCM(6904,6921) = 47782584 / 1
LCM(6904,6921) = 47782584

Least Common Multiple (LCM) of 6904 and 6921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6904 and 6921. First we will calculate the prime factors of 6904 and 6921.

Prime Factorization of 6904

Prime factors of 6904 are 2, 863. Prime factorization of 6904 in exponential form is:

6904 = 23 × 8631

Prime Factorization of 6921

Prime factors of 6921 are 3, 769. Prime factorization of 6921 in exponential form is:

6921 = 32 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 6904 and 6921.

LCM(6904,6921) = 23 × 8631 × 32 × 7691
LCM(6904,6921) = 47782584