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What is the Least Common Multiple of 59434 and 59439?

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 59434 and 59439 is 3532697526.

LCM(59434,59439) = 3532697526

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Least Common Multiple of 59434 and 59439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59434 and 59439, than apply into the LCM equation.

GCF(59434,59439) = 1
LCM(59434,59439) = ( 59434 × 59439) / 1
LCM(59434,59439) = 3532697526 / 1
LCM(59434,59439) = 3532697526

Least Common Multiple (LCM) of 59434 and 59439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59434 and 59439. First we will calculate the prime factors of 59434 and 59439.

Prime Factorization of 59434

Prime factors of 59434 are 2, 29717. Prime factorization of 59434 in exponential form is:

59434 = 21 × 297171

Prime Factorization of 59439

Prime factors of 59439 are 3, 19813. Prime factorization of 59439 in exponential form is:

59439 = 31 × 198131

Now multiplying the highest exponent prime factors to calculate the LCM of 59434 and 59439.

LCM(59434,59439) = 21 × 297171 × 31 × 198131
LCM(59434,59439) = 3532697526