What is the Least Common Multiple of 92831 and 92849?
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 92831 and 92849 is 8619265519.
LCM(92831,92849) = 8619265519
Least Common Multiple of 92831 and 92849 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92831 and 92849, than apply into the LCM equation.
GCF(92831,92849) = 1
LCM(92831,92849) = ( 92831 × 92849) / 1
LCM(92831,92849) = 8619265519 / 1
LCM(92831,92849) = 8619265519
Least Common Multiple (LCM) of 92831 and 92849 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92831 and 92849. First we will calculate the prime factors of 92831 and 92849.
Prime Factorization of 92831
Prime factors of 92831 are 92831. Prime factorization of 92831 in exponential form is:
92831 = 928311
Prime Factorization of 92849
Prime factors of 92849 are 92849. Prime factorization of 92849 in exponential form is:
92849 = 928491
Now multiplying the highest exponent prime factors to calculate the LCM of 92831 and 92849.
LCM(92831,92849) = 928311 × 928491
LCM(92831,92849) = 8619265519
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