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What is the Least Common Multiple of 5893 and 5908?

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 5893 and 5908 is 34815844.

LCM(5893,5908) = 34815844

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Least Common Multiple of 5893 and 5908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5893 and 5908, than apply into the LCM equation.

GCF(5893,5908) = 1
LCM(5893,5908) = ( 5893 × 5908) / 1
LCM(5893,5908) = 34815844 / 1
LCM(5893,5908) = 34815844

Least Common Multiple (LCM) of 5893 and 5908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5893 and 5908. First we will calculate the prime factors of 5893 and 5908.

Prime Factorization of 5893

Prime factors of 5893 are 71, 83. Prime factorization of 5893 in exponential form is:

5893 = 711 × 831

Prime Factorization of 5908

Prime factors of 5908 are 2, 7, 211. Prime factorization of 5908 in exponential form is:

5908 = 22 × 71 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 5893 and 5908.

LCM(5893,5908) = 711 × 831 × 22 × 71 × 2111
LCM(5893,5908) = 34815844