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What is the Least Common Multiple of 63267 and 63287?

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 63267 and 63287 is 4003978629.

LCM(63267,63287) = 4003978629

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Least Common Multiple of 63267 and 63287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63267 and 63287, than apply into the LCM equation.

GCF(63267,63287) = 1
LCM(63267,63287) = ( 63267 × 63287) / 1
LCM(63267,63287) = 4003978629 / 1
LCM(63267,63287) = 4003978629

Least Common Multiple (LCM) of 63267 and 63287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63267 and 63287. First we will calculate the prime factors of 63267 and 63287.

Prime Factorization of 63267

Prime factors of 63267 are 3, 21089. Prime factorization of 63267 in exponential form is:

63267 = 31 × 210891

Prime Factorization of 63287

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

63287 = 71 × 90411

Now multiplying the highest exponent prime factors to calculate the LCM of 63267 and 63287.

LCM(63267,63287) = 31 × 210891 × 71 × 90411
LCM(63267,63287) = 4003978629