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What is the Least Common Multiple of 63287 and 63293?

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 63287 and 63293 is 4005624091.

LCM(63287,63293) = 4005624091

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Least Common Multiple of 63287 and 63293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63287 and 63293, than apply into the LCM equation.

GCF(63287,63293) = 1
LCM(63287,63293) = ( 63287 × 63293) / 1
LCM(63287,63293) = 4005624091 / 1
LCM(63287,63293) = 4005624091

Least Common Multiple (LCM) of 63287 and 63293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63287 and 63293. First we will calculate the prime factors of 63287 and 63293.

Prime Factorization of 63287

Prime factors of 63287 are 7, 9041. Prime factorization of 63287 in exponential form is:

63287 = 71 × 90411

Prime Factorization of 63293

Prime factors of 63293 are 167, 379. Prime factorization of 63293 in exponential form is:

63293 = 1671 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 63287 and 63293.

LCM(63287,63293) = 71 × 90411 × 1671 × 3791
LCM(63287,63293) = 4005624091