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What is the Least Common Multiple of 63282 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 63282 and 63287 is 4004927934.

LCM(63282,63287) = 4004927934

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Least Common Multiple of 63282 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 63282 and 63287, than apply into the LCM equation.

GCF(63282,63287) = 1
LCM(63282,63287) = ( 63282 × 63287) / 1
LCM(63282,63287) = 4004927934 / 1
LCM(63282,63287) = 4004927934

Least Common Multiple (LCM) of 63282 and 63287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63282 and 63287. First we will calculate the prime factors of 63282 and 63287.

Prime Factorization of 63282

Prime factors of 63282 are 2, 3, 53, 199. Prime factorization of 63282 in exponential form is:

63282 = 21 × 31 × 531 × 1991

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 63282 and 63287.

LCM(63282,63287) = 21 × 31 × 531 × 1991 × 71 × 90411
LCM(63282,63287) = 4004927934