What is the Least Common Multiple of 92817 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 92817 and 92836 is 8616759012.
LCM(92817,92836) = 8616759012
Least Common Multiple of 92817 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 92817 and 92836, than apply into the LCM equation.
GCF(92817,92836) = 1
LCM(92817,92836) = ( 92817 × 92836) / 1
LCM(92817,92836) = 8616759012 / 1
LCM(92817,92836) = 8616759012
Least Common Multiple (LCM) of 92817 and 92836 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92817 and 92836. First we will calculate the prime factors of 92817 and 92836.
Prime Factorization of 92817
Prime factors of 92817 are 3, 10313. Prime factorization of 92817 in exponential form is:
92817 = 32 × 103131
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 92817 and 92836.
LCM(92817,92836) = 32 × 103131 × 22 × 232091
LCM(92817,92836) = 8616759012
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