What is the Least Common Multiple of 92575 and 92591?
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 92575 and 92591 is 8571611825.
LCM(92575,92591) = 8571611825
Least Common Multiple of 92575 and 92591 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92575 and 92591, than apply into the LCM equation.
GCF(92575,92591) = 1
LCM(92575,92591) = ( 92575 × 92591) / 1
LCM(92575,92591) = 8571611825 / 1
LCM(92575,92591) = 8571611825
Least Common Multiple (LCM) of 92575 and 92591 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92575 and 92591. First we will calculate the prime factors of 92575 and 92591.
Prime Factorization of 92575
Prime factors of 92575 are 5, 7, 23. Prime factorization of 92575 in exponential form is:
92575 = 52 × 71 × 232
Prime Factorization of 92591
Prime factors of 92591 are 53, 1747. Prime factorization of 92591 in exponential form is:
92591 = 531 × 17471
Now multiplying the highest exponent prime factors to calculate the LCM of 92575 and 92591.
LCM(92575,92591) = 52 × 71 × 232 × 531 × 17471
LCM(92575,92591) = 8571611825
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