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What is the Least Common Multiple of 31433 and 31439?

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 31433 and 31439 is 988222087.

LCM(31433,31439) = 988222087

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Least Common Multiple of 31433 and 31439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31433 and 31439, than apply into the LCM equation.

GCF(31433,31439) = 1
LCM(31433,31439) = ( 31433 × 31439) / 1
LCM(31433,31439) = 988222087 / 1
LCM(31433,31439) = 988222087

Least Common Multiple (LCM) of 31433 and 31439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31433 and 31439. First we will calculate the prime factors of 31433 and 31439.

Prime Factorization of 31433

Prime factors of 31433 are 17, 43. Prime factorization of 31433 in exponential form is:

31433 = 171 × 432

Prime Factorization of 31439

Prime factors of 31439 are 149, 211. Prime factorization of 31439 in exponential form is:

31439 = 1491 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 31433 and 31439.

LCM(31433,31439) = 171 × 432 × 1491 × 2111
LCM(31433,31439) = 988222087