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What is the Least Common Multiple of 63895 and 63904?

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 63904 is 4083146080.

LCM(63895,63904) = 4083146080

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Least Common Multiple of 63895 and 63904 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 63904, than apply into the LCM equation.

GCF(63895,63904) = 1
LCM(63895,63904) = ( 63895 × 63904) / 1
LCM(63895,63904) = 4083146080 / 1
LCM(63895,63904) = 4083146080

Least Common Multiple (LCM) of 63895 and 63904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63895 and 63904. First we will calculate the prime factors of 63895 and 63904.

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 63904

Prime factors of 63904 are 2, 1997. Prime factorization of 63904 in exponential form is:

63904 = 25 × 19971

Now multiplying the highest exponent prime factors to calculate the LCM of 63895 and 63904.

LCM(63895,63904) = 51 × 131 × 9831 × 25 × 19971
LCM(63895,63904) = 4083146080