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What is the Least Common Multiple of 43903 and 43913?

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 43903 and 43913 is 1927912439.

LCM(43903,43913) = 1927912439

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Least Common Multiple of 43903 and 43913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43903 and 43913, than apply into the LCM equation.

GCF(43903,43913) = 1
LCM(43903,43913) = ( 43903 × 43913) / 1
LCM(43903,43913) = 1927912439 / 1
LCM(43903,43913) = 1927912439

Least Common Multiple (LCM) of 43903 and 43913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43903 and 43913. First we will calculate the prime factors of 43903 and 43913.

Prime Factorization of 43903

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

43903 = 431 × 10211

Prime Factorization of 43913

Prime factors of 43913 are 43913. Prime factorization of 43913 in exponential form is:

43913 = 439131

Now multiplying the highest exponent prime factors to calculate the LCM of 43903 and 43913.

LCM(43903,43913) = 431 × 10211 × 439131
LCM(43903,43913) = 1927912439