What is the Least Common Multiple of 92831 and 92836?
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 92836 is 8618058716.
LCM(92831,92836) = 8618058716
Least Common Multiple of 92831 and 92836 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 92836, than apply into the LCM equation.
GCF(92831,92836) = 1
LCM(92831,92836) = ( 92831 × 92836) / 1
LCM(92831,92836) = 8618058716 / 1
LCM(92831,92836) = 8618058716
Least Common Multiple (LCM) of 92831 and 92836 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92831 and 92836. First we will calculate the prime factors of 92831 and 92836.
Prime Factorization of 92831
Prime factors of 92831 are 92831. Prime factorization of 92831 in exponential form is:
92831 = 928311
Prime Factorization of 92836
Prime factors of 92836 are 2, 23209. Prime factorization of 92836 in exponential form is:
92836 = 22 × 232091
Now multiplying the highest exponent prime factors to calculate the LCM of 92831 and 92836.
LCM(92831,92836) = 928311 × 22 × 232091
LCM(92831,92836) = 8618058716
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