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What is the Least Common Multiple of 71033 and 71039?

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 71033 and 71039 is 5046113287.

LCM(71033,71039) = 5046113287

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Least Common Multiple of 71033 and 71039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71033 and 71039, than apply into the LCM equation.

GCF(71033,71039) = 1
LCM(71033,71039) = ( 71033 × 71039) / 1
LCM(71033,71039) = 5046113287 / 1
LCM(71033,71039) = 5046113287

Least Common Multiple (LCM) of 71033 and 71039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71033 and 71039. First we will calculate the prime factors of 71033 and 71039.

Prime Factorization of 71033

Prime factors of 71033 are 251, 283. Prime factorization of 71033 in exponential form is:

71033 = 2511 × 2831

Prime Factorization of 71039

Prime factors of 71039 are 71039. Prime factorization of 71039 in exponential form is:

71039 = 710391

Now multiplying the highest exponent prime factors to calculate the LCM of 71033 and 71039.

LCM(71033,71039) = 2511 × 2831 × 710391
LCM(71033,71039) = 5046113287