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What is the Least Common Multiple of 80433 and 80439?

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 80433 and 80439 is 2156650029.

LCM(80433,80439) = 2156650029

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Least Common Multiple of 80433 and 80439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80433 and 80439, than apply into the LCM equation.

GCF(80433,80439) = 3
LCM(80433,80439) = ( 80433 × 80439) / 3
LCM(80433,80439) = 6469950087 / 3
LCM(80433,80439) = 2156650029

Least Common Multiple (LCM) of 80433 and 80439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80433 and 80439. First we will calculate the prime factors of 80433 and 80439.

Prime Factorization of 80433

Prime factors of 80433 are 3, 331. Prime factorization of 80433 in exponential form is:

80433 = 35 × 3311

Prime Factorization of 80439

Prime factors of 80439 are 3, 26813. Prime factorization of 80439 in exponential form is:

80439 = 31 × 268131

Now multiplying the highest exponent prime factors to calculate the LCM of 80433 and 80439.

LCM(80433,80439) = 35 × 3311 × 268131
LCM(80433,80439) = 2156650029