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What is the Least Common Multiple of 63895 and 63903?

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 63895 and 63903 is 4083082185.

LCM(63895,63903) = 4083082185

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Least Common Multiple of 63895 and 63903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63895 and 63903, than apply into the LCM equation.

GCF(63895,63903) = 1
LCM(63895,63903) = ( 63895 × 63903) / 1
LCM(63895,63903) = 4083082185 / 1
LCM(63895,63903) = 4083082185

Least Common Multiple (LCM) of 63895 and 63903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63895 and 63903. First we will calculate the prime factors of 63895 and 63903.

Prime Factorization of 63895

Prime factors of 63895 are 5, 13, 983. Prime factorization of 63895 in exponential form is:

63895 = 51 × 131 × 9831

Prime Factorization of 63903

Prime factors of 63903 are 3, 7, 17, 179. Prime factorization of 63903 in exponential form is:

63903 = 31 × 71 × 171 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 63895 and 63903.

LCM(63895,63903) = 51 × 131 × 9831 × 31 × 71 × 171 × 1791
LCM(63895,63903) = 4083082185