What is the Least Common Multiple of 63999 and 64005?
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 64005 is 1365418665.
LCM(63999,64005) = 1365418665
Least Common Multiple of 63999 and 64005 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 64005, than apply into the LCM equation.
GCF(63999,64005) = 3
LCM(63999,64005) = ( 63999 × 64005) / 3
LCM(63999,64005) = 4096255995 / 3
LCM(63999,64005) = 1365418665
Least Common Multiple (LCM) of 63999 and 64005 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63999 and 64005. First we will calculate the prime factors of 63999 and 64005.
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 64005
Prime factors of 64005 are 3, 5, 17, 251. Prime factorization of 64005 in exponential form is:
64005 = 31 × 51 × 171 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 63999 and 64005.
LCM(63999,64005) = 32 × 131 × 5471 × 51 × 171 × 2511
LCM(63999,64005) = 1365418665
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