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What is the Least Common Multiple of 6889 and 6904?

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 6889 and 6904 is 47561656.

LCM(6889,6904) = 47561656

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Least Common Multiple of 6889 and 6904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6889 and 6904, than apply into the LCM equation.

GCF(6889,6904) = 1
LCM(6889,6904) = ( 6889 × 6904) / 1
LCM(6889,6904) = 47561656 / 1
LCM(6889,6904) = 47561656

Least Common Multiple (LCM) of 6889 and 6904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6889 and 6904. First we will calculate the prime factors of 6889 and 6904.

Prime Factorization of 6889

Prime factors of 6889 are 83. Prime factorization of 6889 in exponential form is:

6889 = 832

Prime Factorization of 6904

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

6904 = 23 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 6889 and 6904.

LCM(6889,6904) = 832 × 23 × 8631
LCM(6889,6904) = 47561656