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What is the Least Common Multiple of 43386 and 43391?

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 43386 and 43391 is 1882561926.

LCM(43386,43391) = 1882561926

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Least Common Multiple of 43386 and 43391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43386 and 43391, than apply into the LCM equation.

GCF(43386,43391) = 1
LCM(43386,43391) = ( 43386 × 43391) / 1
LCM(43386,43391) = 1882561926 / 1
LCM(43386,43391) = 1882561926

Least Common Multiple (LCM) of 43386 and 43391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43386 and 43391. First we will calculate the prime factors of 43386 and 43391.

Prime Factorization of 43386

Prime factors of 43386 are 2, 3, 7, 1033. Prime factorization of 43386 in exponential form is:

43386 = 21 × 31 × 71 × 10331

Prime Factorization of 43391

Prime factors of 43391 are 43391. Prime factorization of 43391 in exponential form is:

43391 = 433911

Now multiplying the highest exponent prime factors to calculate the LCM of 43386 and 43391.

LCM(43386,43391) = 21 × 31 × 71 × 10331 × 433911
LCM(43386,43391) = 1882561926