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What is the Least Common Multiple of 39422 and 39439?

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 39422 and 39439 is 1554764258.

LCM(39422,39439) = 1554764258

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Least Common Multiple of 39422 and 39439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39422 and 39439, than apply into the LCM equation.

GCF(39422,39439) = 1
LCM(39422,39439) = ( 39422 × 39439) / 1
LCM(39422,39439) = 1554764258 / 1
LCM(39422,39439) = 1554764258

Least Common Multiple (LCM) of 39422 and 39439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39422 and 39439. First we will calculate the prime factors of 39422 and 39439.

Prime Factorization of 39422

Prime factors of 39422 are 2, 23, 857. Prime factorization of 39422 in exponential form is:

39422 = 21 × 231 × 8571

Prime Factorization of 39439

Prime factors of 39439 are 39439. Prime factorization of 39439 in exponential form is:

39439 = 394391

Now multiplying the highest exponent prime factors to calculate the LCM of 39422 and 39439.

LCM(39422,39439) = 21 × 231 × 8571 × 394391
LCM(39422,39439) = 1554764258