What is the Least Common Multiple of 92471 and 92482?
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 92471 and 92482 is 8551903022.
LCM(92471,92482) = 8551903022
Least Common Multiple of 92471 and 92482 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92471 and 92482, than apply into the LCM equation.
GCF(92471,92482) = 1
LCM(92471,92482) = ( 92471 × 92482) / 1
LCM(92471,92482) = 8551903022 / 1
LCM(92471,92482) = 8551903022
Least Common Multiple (LCM) of 92471 and 92482 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92471 and 92482. First we will calculate the prime factors of 92471 and 92482.
Prime Factorization of 92471
Prime factors of 92471 are 89, 1039. Prime factorization of 92471 in exponential form is:
92471 = 891 × 10391
Prime Factorization of 92482
Prime factors of 92482 are 2, 13, 3557. Prime factorization of 92482 in exponential form is:
92482 = 21 × 131 × 35571
Now multiplying the highest exponent prime factors to calculate the LCM of 92471 and 92482.
LCM(92471,92482) = 891 × 10391 × 21 × 131 × 35571
LCM(92471,92482) = 8551903022
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