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What is the Least Common Multiple of 63893 and 63898?

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 63893 and 63898 is 4082634914.

LCM(63893,63898) = 4082634914

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Least Common Multiple of 63893 and 63898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63893 and 63898, than apply into the LCM equation.

GCF(63893,63898) = 1
LCM(63893,63898) = ( 63893 × 63898) / 1
LCM(63893,63898) = 4082634914 / 1
LCM(63893,63898) = 4082634914

Least Common Multiple (LCM) of 63893 and 63898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63893 and 63898. First we will calculate the prime factors of 63893 and 63898.

Prime Factorization of 63893

Prime factors of 63893 are 181, 353. Prime factorization of 63893 in exponential form is:

63893 = 1811 × 3531

Prime Factorization of 63898

Prime factors of 63898 are 2, 43, 743. Prime factorization of 63898 in exponential form is:

63898 = 21 × 431 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 63893 and 63898.

LCM(63893,63898) = 1811 × 3531 × 21 × 431 × 7431
LCM(63893,63898) = 4082634914