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What is the Least Common Multiple of 43439 and 43459?

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 43439 and 43459 is 1887815501.

LCM(43439,43459) = 1887815501

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Least Common Multiple of 43439 and 43459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43439 and 43459, than apply into the LCM equation.

GCF(43439,43459) = 1
LCM(43439,43459) = ( 43439 × 43459) / 1
LCM(43439,43459) = 1887815501 / 1
LCM(43439,43459) = 1887815501

Least Common Multiple (LCM) of 43439 and 43459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43439 and 43459. First we will calculate the prime factors of 43439 and 43459.

Prime Factorization of 43439

Prime factors of 43439 are 11, 359. Prime factorization of 43439 in exponential form is:

43439 = 112 × 3591

Prime Factorization of 43459

Prime factors of 43459 are 13, 3343. Prime factorization of 43459 in exponential form is:

43459 = 131 × 33431

Now multiplying the highest exponent prime factors to calculate the LCM of 43439 and 43459.

LCM(43439,43459) = 112 × 3591 × 131 × 33431
LCM(43439,43459) = 1887815501