What is the Least Common Multiple of 92903 and 92911?
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 92903 and 92911 is 8631710633.
LCM(92903,92911) = 8631710633
Least Common Multiple of 92903 and 92911 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92903 and 92911, than apply into the LCM equation.
GCF(92903,92911) = 1
LCM(92903,92911) = ( 92903 × 92911) / 1
LCM(92903,92911) = 8631710633 / 1
LCM(92903,92911) = 8631710633
Least Common Multiple (LCM) of 92903 and 92911 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92903 and 92911. First we will calculate the prime factors of 92903 and 92911.
Prime Factorization of 92903
Prime factors of 92903 are 61, 1523. Prime factorization of 92903 in exponential form is:
92903 = 611 × 15231
Prime Factorization of 92911
Prime factors of 92911 are 7, 13, 1021. Prime factorization of 92911 in exponential form is:
92911 = 71 × 131 × 10211
Now multiplying the highest exponent prime factors to calculate the LCM of 92903 and 92911.
LCM(92903,92911) = 611 × 15231 × 71 × 131 × 10211
LCM(92903,92911) = 8631710633
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