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What is the Least Common Multiple of 43396 and 43411?

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 43396 and 43411 is 1883863756.

LCM(43396,43411) = 1883863756

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Least Common Multiple of 43396 and 43411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43396 and 43411, than apply into the LCM equation.

GCF(43396,43411) = 1
LCM(43396,43411) = ( 43396 × 43411) / 1
LCM(43396,43411) = 1883863756 / 1
LCM(43396,43411) = 1883863756

Least Common Multiple (LCM) of 43396 and 43411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43396 and 43411. First we will calculate the prime factors of 43396 and 43411.

Prime Factorization of 43396

Prime factors of 43396 are 2, 19, 571. Prime factorization of 43396 in exponential form is:

43396 = 22 × 191 × 5711

Prime Factorization of 43411

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

43411 = 434111

Now multiplying the highest exponent prime factors to calculate the LCM of 43396 and 43411.

LCM(43396,43411) = 22 × 191 × 5711 × 434111
LCM(43396,43411) = 1883863756