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What is the Least Common Multiple of 93422 and 93439?

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 93422 and 93439 is 8729258258.

LCM(93422,93439) = 8729258258

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Least Common Multiple of 93422 and 93439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93422 and 93439, than apply into the LCM equation.

GCF(93422,93439) = 1
LCM(93422,93439) = ( 93422 × 93439) / 1
LCM(93422,93439) = 8729258258 / 1
LCM(93422,93439) = 8729258258

Least Common Multiple (LCM) of 93422 and 93439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93422 and 93439. First we will calculate the prime factors of 93422 and 93439.

Prime Factorization of 93422

Prime factors of 93422 are 2, 7, 6673. Prime factorization of 93422 in exponential form is:

93422 = 21 × 71 × 66731

Prime Factorization of 93439

Prime factors of 93439 are 41, 43, 53. Prime factorization of 93439 in exponential form is:

93439 = 411 × 431 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 93422 and 93439.

LCM(93422,93439) = 21 × 71 × 66731 × 411 × 431 × 531
LCM(93422,93439) = 8729258258