What is the Least Common Multiple of 76985 and 76990?
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 76990 is 1185415030.
LCM(76985,76990) = 1185415030
Least Common Multiple of 76985 and 76990 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 76990, than apply into the LCM equation.
GCF(76985,76990) = 5
LCM(76985,76990) = ( 76985 × 76990) / 5
LCM(76985,76990) = 5927075150 / 5
LCM(76985,76990) = 1185415030
Least Common Multiple (LCM) of 76985 and 76990 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76985 and 76990. First we will calculate the prime factors of 76985 and 76990.
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 76990
Prime factors of 76990 are 2, 5, 7699. Prime factorization of 76990 in exponential form is:
76990 = 21 × 51 × 76991
Now multiplying the highest exponent prime factors to calculate the LCM of 76985 and 76990.
LCM(76985,76990) = 51 × 891 × 1731 × 21 × 76991
LCM(76985,76990) = 1185415030
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