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What is the Least Common Multiple of 40435 and 40439?

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 40435 and 40439 is 1635150965.

LCM(40435,40439) = 1635150965

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Least Common Multiple of 40435 and 40439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40435 and 40439, than apply into the LCM equation.

GCF(40435,40439) = 1
LCM(40435,40439) = ( 40435 × 40439) / 1
LCM(40435,40439) = 1635150965 / 1
LCM(40435,40439) = 1635150965

Least Common Multiple (LCM) of 40435 and 40439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40435 and 40439. First we will calculate the prime factors of 40435 and 40439.

Prime Factorization of 40435

Prime factors of 40435 are 5, 8087. Prime factorization of 40435 in exponential form is:

40435 = 51 × 80871

Prime Factorization of 40439

Prime factors of 40439 are 7, 53, 109. Prime factorization of 40439 in exponential form is:

40439 = 71 × 531 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 40435 and 40439.

LCM(40435,40439) = 51 × 80871 × 71 × 531 × 1091
LCM(40435,40439) = 1635150965