What is the Least Common Multiple of 92706 and 92717?
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 92706 and 92717 is 8595422202.
LCM(92706,92717) = 8595422202
Least Common Multiple of 92706 and 92717 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92706 and 92717, than apply into the LCM equation.
GCF(92706,92717) = 1
LCM(92706,92717) = ( 92706 × 92717) / 1
LCM(92706,92717) = 8595422202 / 1
LCM(92706,92717) = 8595422202
Least Common Multiple (LCM) of 92706 and 92717 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92706 and 92717. First we will calculate the prime factors of 92706 and 92717.
Prime Factorization of 92706
Prime factors of 92706 are 2, 3, 15451. Prime factorization of 92706 in exponential form is:
92706 = 21 × 31 × 154511
Prime Factorization of 92717
Prime factors of 92717 are 92717. Prime factorization of 92717 in exponential form is:
92717 = 927171
Now multiplying the highest exponent prime factors to calculate the LCM of 92706 and 92717.
LCM(92706,92717) = 21 × 31 × 154511 × 927171
LCM(92706,92717) = 8595422202
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