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What is the Least Common Multiple of 8429 and 8439?

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 8429 and 8439 is 71132331.

LCM(8429,8439) = 71132331

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Least Common Multiple of 8429 and 8439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8429 and 8439, than apply into the LCM equation.

GCF(8429,8439) = 1
LCM(8429,8439) = ( 8429 × 8439) / 1
LCM(8429,8439) = 71132331 / 1
LCM(8429,8439) = 71132331

Least Common Multiple (LCM) of 8429 and 8439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8429 and 8439. First we will calculate the prime factors of 8429 and 8439.

Prime Factorization of 8429

Prime factors of 8429 are 8429. Prime factorization of 8429 in exponential form is:

8429 = 84291

Prime Factorization of 8439

Prime factors of 8439 are 3, 29, 97. Prime factorization of 8439 in exponential form is:

8439 = 31 × 291 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 8429 and 8439.

LCM(8429,8439) = 84291 × 31 × 291 × 971
LCM(8429,8439) = 71132331