What is the Least Common Multiple of 63999 and 64009?
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 63999 and 64009 is 4096511991.
LCM(63999,64009) = 4096511991
Least Common Multiple of 63999 and 64009 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63999 and 64009, than apply into the LCM equation.
GCF(63999,64009) = 1
LCM(63999,64009) = ( 63999 × 64009) / 1
LCM(63999,64009) = 4096511991 / 1
LCM(63999,64009) = 4096511991
Least Common Multiple (LCM) of 63999 and 64009 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63999 and 64009. First we will calculate the prime factors of 63999 and 64009.
Prime Factorization of 63999
Prime factors of 63999 are 3, 13, 547. Prime factorization of 63999 in exponential form is:
63999 = 32 × 131 × 5471
Prime Factorization of 64009
Prime factors of 64009 are 11, 23. Prime factorization of 64009 in exponential form is:
64009 = 112 × 232
Now multiplying the highest exponent prime factors to calculate the LCM of 63999 and 64009.
LCM(63999,64009) = 32 × 131 × 5471 × 112 × 232
LCM(63999,64009) = 4096511991
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