What is the Least Common Multiple of 76985 and 76989?
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 76985 and 76989 is 5926998165.
LCM(76985,76989) = 5926998165
Least Common Multiple of 76985 and 76989 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76985 and 76989, than apply into the LCM equation.
GCF(76985,76989) = 1
LCM(76985,76989) = ( 76985 × 76989) / 1
LCM(76985,76989) = 5926998165 / 1
LCM(76985,76989) = 5926998165
Least Common Multiple (LCM) of 76985 and 76989 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76985 and 76989. First we will calculate the prime factors of 76985 and 76989.
Prime Factorization of 76985
Prime factors of 76985 are 5, 89, 173. Prime factorization of 76985 in exponential form is:
76985 = 51 × 891 × 1731
Prime Factorization of 76989
Prime factors of 76989 are 3, 11, 2333. Prime factorization of 76989 in exponential form is:
76989 = 31 × 111 × 23331
Now multiplying the highest exponent prime factors to calculate the LCM of 76985 and 76989.
LCM(76985,76989) = 51 × 891 × 1731 × 31 × 111 × 23331
LCM(76985,76989) = 5926998165
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