What is the Least Common Multiple of 63904 and 63923?
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 63904 and 63923 is 4084935392.
LCM(63904,63923) = 4084935392
Least Common Multiple of 63904 and 63923 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63904 and 63923, than apply into the LCM equation.
GCF(63904,63923) = 1
LCM(63904,63923) = ( 63904 × 63923) / 1
LCM(63904,63923) = 4084935392 / 1
LCM(63904,63923) = 4084935392
Least Common Multiple (LCM) of 63904 and 63923 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63904 and 63923. First we will calculate the prime factors of 63904 and 63923.
Prime Factorization of 63904
Prime factors of 63904 are 2, 1997. Prime factorization of 63904 in exponential form is:
63904 = 25 × 19971
Prime Factorization of 63923
Prime factors of 63923 are 97, 659. Prime factorization of 63923 in exponential form is:
63923 = 971 × 6591
Now multiplying the highest exponent prime factors to calculate the LCM of 63904 and 63923.
LCM(63904,63923) = 25 × 19971 × 971 × 6591
LCM(63904,63923) = 4084935392
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