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What is the Least Common Multiple of 35429 and 35439?

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 35429 and 35439 is 1255568331.

LCM(35429,35439) = 1255568331

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Least Common Multiple of 35429 and 35439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35429 and 35439, than apply into the LCM equation.

GCF(35429,35439) = 1
LCM(35429,35439) = ( 35429 × 35439) / 1
LCM(35429,35439) = 1255568331 / 1
LCM(35429,35439) = 1255568331

Least Common Multiple (LCM) of 35429 and 35439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35429 and 35439. First we will calculate the prime factors of 35429 and 35439.

Prime Factorization of 35429

Prime factors of 35429 are 71, 499. Prime factorization of 35429 in exponential form is:

35429 = 711 × 4991

Prime Factorization of 35439

Prime factors of 35439 are 3, 11813. Prime factorization of 35439 in exponential form is:

35439 = 31 × 118131

Now multiplying the highest exponent prime factors to calculate the LCM of 35429 and 35439.

LCM(35429,35439) = 711 × 4991 × 31 × 118131
LCM(35429,35439) = 1255568331