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What is the Least Common Multiple of 43887 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 43887 and 43903 is 1926770961.

LCM(43887,43903) = 1926770961

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Least Common Multiple of 43887 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 43887 and 43903, than apply into the LCM equation.

GCF(43887,43903) = 1
LCM(43887,43903) = ( 43887 × 43903) / 1
LCM(43887,43903) = 1926770961 / 1
LCM(43887,43903) = 1926770961

Least Common Multiple (LCM) of 43887 and 43903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43887 and 43903. First we will calculate the prime factors of 43887 and 43903.

Prime Factorization of 43887

Prime factors of 43887 are 3, 14629. Prime factorization of 43887 in exponential form is:

43887 = 31 × 146291

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 43887 and 43903.

LCM(43887,43903) = 31 × 146291 × 431 × 10211
LCM(43887,43903) = 1926770961