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What is the Least Common Multiple of 63883 and 63896?

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 63883 and 63896 is 4081868168.

LCM(63883,63896) = 4081868168

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Least Common Multiple of 63883 and 63896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63883 and 63896, than apply into the LCM equation.

GCF(63883,63896) = 1
LCM(63883,63896) = ( 63883 × 63896) / 1
LCM(63883,63896) = 4081868168 / 1
LCM(63883,63896) = 4081868168

Least Common Multiple (LCM) of 63883 and 63896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63883 and 63896. First we will calculate the prime factors of 63883 and 63896.

Prime Factorization of 63883

Prime factors of 63883 are 193, 331. Prime factorization of 63883 in exponential form is:

63883 = 1931 × 3311

Prime Factorization of 63896

Prime factors of 63896 are 2, 7, 163. Prime factorization of 63896 in exponential form is:

63896 = 23 × 72 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 63883 and 63896.

LCM(63883,63896) = 1931 × 3311 × 23 × 72 × 1631
LCM(63883,63896) = 4081868168