What is the Least Common Multiple of 63879 and 63886?
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 63879 and 63886 is 4080973794.
LCM(63879,63886) = 4080973794
Least Common Multiple of 63879 and 63886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63879 and 63886, than apply into the LCM equation.
GCF(63879,63886) = 1
LCM(63879,63886) = ( 63879 × 63886) / 1
LCM(63879,63886) = 4080973794 / 1
LCM(63879,63886) = 4080973794
Least Common Multiple (LCM) of 63879 and 63886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63879 and 63886. First we will calculate the prime factors of 63879 and 63886.
Prime Factorization of 63879
Prime factors of 63879 are 3, 107, 199. Prime factorization of 63879 in exponential form is:
63879 = 31 × 1071 × 1991
Prime Factorization of 63886
Prime factors of 63886 are 2, 17, 1879. Prime factorization of 63886 in exponential form is:
63886 = 21 × 171 × 18791
Now multiplying the highest exponent prime factors to calculate the LCM of 63879 and 63886.
LCM(63879,63886) = 31 × 1071 × 1991 × 21 × 171 × 18791
LCM(63879,63886) = 4080973794
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