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What is the Least Common Multiple of 63394 and 63399?

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 63394 and 63399 is 4019116206.

LCM(63394,63399) = 4019116206

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Least Common Multiple of 63394 and 63399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63394 and 63399, than apply into the LCM equation.

GCF(63394,63399) = 1
LCM(63394,63399) = ( 63394 × 63399) / 1
LCM(63394,63399) = 4019116206 / 1
LCM(63394,63399) = 4019116206

Least Common Multiple (LCM) of 63394 and 63399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63394 and 63399. First we will calculate the prime factors of 63394 and 63399.

Prime Factorization of 63394

Prime factors of 63394 are 2, 29, 1093. Prime factorization of 63394 in exponential form is:

63394 = 21 × 291 × 10931

Prime Factorization of 63399

Prime factors of 63399 are 3, 7, 3019. Prime factorization of 63399 in exponential form is:

63399 = 31 × 71 × 30191

Now multiplying the highest exponent prime factors to calculate the LCM of 63394 and 63399.

LCM(63394,63399) = 21 × 291 × 10931 × 31 × 71 × 30191
LCM(63394,63399) = 4019116206