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What is the Least Common Multiple of 63419 and 63439?

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 63419 and 63439 is 4023237941.

LCM(63419,63439) = 4023237941

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Least Common Multiple of 63419 and 63439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63419 and 63439, than apply into the LCM equation.

GCF(63419,63439) = 1
LCM(63419,63439) = ( 63419 × 63439) / 1
LCM(63419,63439) = 4023237941 / 1
LCM(63419,63439) = 4023237941

Least Common Multiple (LCM) of 63419 and 63439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63419 and 63439. First we will calculate the prime factors of 63419 and 63439.

Prime Factorization of 63419

Prime factors of 63419 are 63419. Prime factorization of 63419 in exponential form is:

63419 = 634191

Prime Factorization of 63439

Prime factors of 63439 are 63439. Prime factorization of 63439 in exponential form is:

63439 = 634391

Now multiplying the highest exponent prime factors to calculate the LCM of 63419 and 63439.

LCM(63419,63439) = 634191 × 634391
LCM(63419,63439) = 4023237941