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What is the Least Common Multiple of 43411 and 43423?

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 43411 and 43423 is 1885035853.

LCM(43411,43423) = 1885035853

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Least Common Multiple of 43411 and 43423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43411 and 43423, than apply into the LCM equation.

GCF(43411,43423) = 1
LCM(43411,43423) = ( 43411 × 43423) / 1
LCM(43411,43423) = 1885035853 / 1
LCM(43411,43423) = 1885035853

Least Common Multiple (LCM) of 43411 and 43423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43411 and 43423. First we will calculate the prime factors of 43411 and 43423.

Prime Factorization of 43411

Prime factors of 43411 are 43411. Prime factorization of 43411 in exponential form is:

43411 = 434111

Prime Factorization of 43423

Prime factors of 43423 are 173, 251. Prime factorization of 43423 in exponential form is:

43423 = 1731 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 43411 and 43423.

LCM(43411,43423) = 434111 × 1731 × 2511
LCM(43411,43423) = 1885035853