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What is the Least Common Multiple of 63483 and 63487?

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 63483 and 63487 is 4030345221.

LCM(63483,63487) = 4030345221

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Least Common Multiple of 63483 and 63487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63483 and 63487, than apply into the LCM equation.

GCF(63483,63487) = 1
LCM(63483,63487) = ( 63483 × 63487) / 1
LCM(63483,63487) = 4030345221 / 1
LCM(63483,63487) = 4030345221

Least Common Multiple (LCM) of 63483 and 63487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63483 and 63487. First we will calculate the prime factors of 63483 and 63487.

Prime Factorization of 63483

Prime factors of 63483 are 3, 7, 3023. Prime factorization of 63483 in exponential form is:

63483 = 31 × 71 × 30231

Prime Factorization of 63487

Prime factors of 63487 are 63487. Prime factorization of 63487 in exponential form is:

63487 = 634871

Now multiplying the highest exponent prime factors to calculate the LCM of 63483 and 63487.

LCM(63483,63487) = 31 × 71 × 30231 × 634871
LCM(63483,63487) = 4030345221