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What is the Least Common Multiple of 43903 and 43907?

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 43907 is 1927649021.

LCM(43903,43907) = 1927649021

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Least Common Multiple of 43903 and 43907 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 43907, than apply into the LCM equation.

GCF(43903,43907) = 1
LCM(43903,43907) = ( 43903 × 43907) / 1
LCM(43903,43907) = 1927649021 / 1
LCM(43903,43907) = 1927649021

Least Common Multiple (LCM) of 43903 and 43907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43903 and 43907. First we will calculate the prime factors of 43903 and 43907.

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 43907

Prime factors of 43907 are 23, 83. Prime factorization of 43907 in exponential form is:

43907 = 232 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 43903 and 43907.

LCM(43903,43907) = 431 × 10211 × 232 × 831
LCM(43903,43907) = 1927649021