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What is the Least Common Multiple of 62431 and 62439?

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 62431 and 62439 is 3898129209.

LCM(62431,62439) = 3898129209

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Least Common Multiple of 62431 and 62439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62431 and 62439, than apply into the LCM equation.

GCF(62431,62439) = 1
LCM(62431,62439) = ( 62431 × 62439) / 1
LCM(62431,62439) = 3898129209 / 1
LCM(62431,62439) = 3898129209

Least Common Multiple (LCM) of 62431 and 62439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62431 and 62439. First we will calculate the prime factors of 62431 and 62439.

Prime Factorization of 62431

Prime factors of 62431 are 149, 419. Prime factorization of 62431 in exponential form is:

62431 = 1491 × 4191

Prime Factorization of 62439

Prime factors of 62439 are 3, 13, 1601. Prime factorization of 62439 in exponential form is:

62439 = 31 × 131 × 16011

Now multiplying the highest exponent prime factors to calculate the LCM of 62431 and 62439.

LCM(62431,62439) = 1491 × 4191 × 31 × 131 × 16011
LCM(62431,62439) = 3898129209