What is the Least Common Multiple of 63856 and 63865?
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 63856 and 63865 is 4078163440.
LCM(63856,63865) = 4078163440
Least Common Multiple of 63856 and 63865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63856 and 63865, than apply into the LCM equation.
GCF(63856,63865) = 1
LCM(63856,63865) = ( 63856 × 63865) / 1
LCM(63856,63865) = 4078163440 / 1
LCM(63856,63865) = 4078163440
Least Common Multiple (LCM) of 63856 and 63865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63856 and 63865. First we will calculate the prime factors of 63856 and 63865.
Prime Factorization of 63856
Prime factors of 63856 are 2, 13, 307. Prime factorization of 63856 in exponential form is:
63856 = 24 × 131 × 3071
Prime Factorization of 63865
Prime factors of 63865 are 5, 53, 241. Prime factorization of 63865 in exponential form is:
63865 = 51 × 531 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 63856 and 63865.
LCM(63856,63865) = 24 × 131 × 3071 × 51 × 531 × 2411
LCM(63856,63865) = 4078163440
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