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What is the Least Common Multiple of 24431 and 24439?

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 24431 and 24439 is 597069209.

LCM(24431,24439) = 597069209

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Least Common Multiple of 24431 and 24439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24431 and 24439, than apply into the LCM equation.

GCF(24431,24439) = 1
LCM(24431,24439) = ( 24431 × 24439) / 1
LCM(24431,24439) = 597069209 / 1
LCM(24431,24439) = 597069209

Least Common Multiple (LCM) of 24431 and 24439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24431 and 24439. First we will calculate the prime factors of 24431 and 24439.

Prime Factorization of 24431

Prime factors of 24431 are 11, 2221. Prime factorization of 24431 in exponential form is:

24431 = 111 × 22211

Prime Factorization of 24439

Prime factors of 24439 are 24439. Prime factorization of 24439 in exponential form is:

24439 = 244391

Now multiplying the highest exponent prime factors to calculate the LCM of 24431 and 24439.

LCM(24431,24439) = 111 × 22211 × 244391
LCM(24431,24439) = 597069209