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What is the Least Common Multiple of 63865 and 63869?

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 63865 and 63869 is 4078993685.

LCM(63865,63869) = 4078993685

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Least Common Multiple of 63865 and 63869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63865 and 63869, than apply into the LCM equation.

GCF(63865,63869) = 1
LCM(63865,63869) = ( 63865 × 63869) / 1
LCM(63865,63869) = 4078993685 / 1
LCM(63865,63869) = 4078993685

Least Common Multiple (LCM) of 63865 and 63869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63865 and 63869. First we will calculate the prime factors of 63865 and 63869.

Prime Factorization of 63865

Prime factors of 63865 are 5, 53, 241. Prime factorization of 63865 in exponential form is:

63865 = 51 × 531 × 2411

Prime Factorization of 63869

Prime factors of 63869 are 13, 17. Prime factorization of 63869 in exponential form is:

63869 = 131 × 173

Now multiplying the highest exponent prime factors to calculate the LCM of 63865 and 63869.

LCM(63865,63869) = 51 × 531 × 2411 × 131 × 173
LCM(63865,63869) = 4078993685