What is the Least Common Multiple of 63864 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 63864 and 63869 is 4078929816.
LCM(63864,63869) = 4078929816
Least Common Multiple of 63864 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 63864 and 63869, than apply into the LCM equation.
GCF(63864,63869) = 1
LCM(63864,63869) = ( 63864 × 63869) / 1
LCM(63864,63869) = 4078929816 / 1
LCM(63864,63869) = 4078929816
Least Common Multiple (LCM) of 63864 and 63869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63864 and 63869. First we will calculate the prime factors of 63864 and 63869.
Prime Factorization of 63864
Prime factors of 63864 are 2, 3, 887. Prime factorization of 63864 in exponential form is:
63864 = 23 × 32 × 8871
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 63864 and 63869.
LCM(63864,63869) = 23 × 32 × 8871 × 131 × 173
LCM(63864,63869) = 4078929816
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