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What is the Least Common Multiple of 43393 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 43393 and 43411 is 1883733523.

LCM(43393,43411) = 1883733523

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Least Common Multiple of 43393 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 43393 and 43411, than apply into the LCM equation.

GCF(43393,43411) = 1
LCM(43393,43411) = ( 43393 × 43411) / 1
LCM(43393,43411) = 1883733523 / 1
LCM(43393,43411) = 1883733523

Least Common Multiple (LCM) of 43393 and 43411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43393 and 43411. First we will calculate the prime factors of 43393 and 43411.

Prime Factorization of 43393

Prime factors of 43393 are 7, 6199. Prime factorization of 43393 in exponential form is:

43393 = 71 × 61991

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 43393 and 43411.

LCM(43393,43411) = 71 × 61991 × 434111
LCM(43393,43411) = 1883733523