What is the Least Common Multiple of 92173 and 92177?
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 92173 and 92177 is 8496230621.
LCM(92173,92177) = 8496230621
Least Common Multiple of 92173 and 92177 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92173 and 92177, than apply into the LCM equation.
GCF(92173,92177) = 1
LCM(92173,92177) = ( 92173 × 92177) / 1
LCM(92173,92177) = 8496230621 / 1
LCM(92173,92177) = 8496230621
Least Common Multiple (LCM) of 92173 and 92177 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92173 and 92177. First we will calculate the prime factors of 92173 and 92177.
Prime Factorization of 92173
Prime factors of 92173 are 92173. Prime factorization of 92173 in exponential form is:
92173 = 921731
Prime Factorization of 92177
Prime factors of 92177 are 92177. Prime factorization of 92177 in exponential form is:
92177 = 921771
Now multiplying the highest exponent prime factors to calculate the LCM of 92173 and 92177.
LCM(92173,92177) = 921731 × 921771
LCM(92173,92177) = 8496230621
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