What is the Least Common Multiple of 63882 and 63887?
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 63882 and 63887 is 4081229334.
LCM(63882,63887) = 4081229334
Least Common Multiple of 63882 and 63887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63882 and 63887, than apply into the LCM equation.
GCF(63882,63887) = 1
LCM(63882,63887) = ( 63882 × 63887) / 1
LCM(63882,63887) = 4081229334 / 1
LCM(63882,63887) = 4081229334
Least Common Multiple (LCM) of 63882 and 63887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63882 and 63887. First we will calculate the prime factors of 63882 and 63887.
Prime Factorization of 63882
Prime factors of 63882 are 2, 3, 7, 13. Prime factorization of 63882 in exponential form is:
63882 = 21 × 33 × 71 × 132
Prime Factorization of 63887
Prime factors of 63887 are 29, 2203. Prime factorization of 63887 in exponential form is:
63887 = 291 × 22031
Now multiplying the highest exponent prime factors to calculate the LCM of 63882 and 63887.
LCM(63882,63887) = 21 × 33 × 71 × 132 × 291 × 22031
LCM(63882,63887) = 4081229334
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