What is the Least Common Multiple of 92836 and 92841?
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 92836 and 92841 is 8618987076.
LCM(92836,92841) = 8618987076
Least Common Multiple of 92836 and 92841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92836 and 92841, than apply into the LCM equation.
GCF(92836,92841) = 1
LCM(92836,92841) = ( 92836 × 92841) / 1
LCM(92836,92841) = 8618987076 / 1
LCM(92836,92841) = 8618987076
Least Common Multiple (LCM) of 92836 and 92841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92836 and 92841. First we will calculate the prime factors of 92836 and 92841.
Prime Factorization of 92836
Prime factors of 92836 are 2, 23209. Prime factorization of 92836 in exponential form is:
92836 = 22 × 232091
Prime Factorization of 92841
Prime factors of 92841 are 3, 7, 4421. Prime factorization of 92841 in exponential form is:
92841 = 31 × 71 × 44211
Now multiplying the highest exponent prime factors to calculate the LCM of 92836 and 92841.
LCM(92836,92841) = 22 × 232091 × 31 × 71 × 44211
LCM(92836,92841) = 8618987076
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