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What is the Least Common Multiple of 43899 and 43903?

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 43899 and 43903 is 1927297797.

LCM(43899,43903) = 1927297797

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Least Common Multiple of 43899 and 43903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43899 and 43903, than apply into the LCM equation.

GCF(43899,43903) = 1
LCM(43899,43903) = ( 43899 × 43903) / 1
LCM(43899,43903) = 1927297797 / 1
LCM(43899,43903) = 1927297797

Least Common Multiple (LCM) of 43899 and 43903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43899 and 43903. First we will calculate the prime factors of 43899 and 43903.

Prime Factorization of 43899

Prime factors of 43899 are 3, 14633. Prime factorization of 43899 in exponential form is:

43899 = 31 × 146331

Prime Factorization of 43903

Prime factors of 43903 are 43, 1021. Prime factorization of 43903 in exponential form is:

43903 = 431 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 43899 and 43903.

LCM(43899,43903) = 31 × 146331 × 431 × 10211
LCM(43899,43903) = 1927297797