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What is the Least Common Multiple of 43441 and 43447?

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 43441 and 43447 is 1887381127.

LCM(43441,43447) = 1887381127

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Least Common Multiple of 43441 and 43447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43441 and 43447, than apply into the LCM equation.

GCF(43441,43447) = 1
LCM(43441,43447) = ( 43441 × 43447) / 1
LCM(43441,43447) = 1887381127 / 1
LCM(43441,43447) = 1887381127

Least Common Multiple (LCM) of 43441 and 43447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43441 and 43447. First we will calculate the prime factors of 43441 and 43447.

Prime Factorization of 43441

Prime factors of 43441 are 43441. Prime factorization of 43441 in exponential form is:

43441 = 434411

Prime Factorization of 43447

Prime factors of 43447 are 23, 1889. Prime factorization of 43447 in exponential form is:

43447 = 231 × 18891

Now multiplying the highest exponent prime factors to calculate the LCM of 43441 and 43447.

LCM(43441,43447) = 434411 × 231 × 18891
LCM(43441,43447) = 1887381127