What is the Least Common Multiple of 23081 and 23093?
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 23081 and 23093 is 533009533.
LCM(23081,23093) = 533009533
Least Common Multiple of 23081 and 23093 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23081 and 23093, than apply into the LCM equation.
GCF(23081,23093) = 1
LCM(23081,23093) = ( 23081 × 23093) / 1
LCM(23081,23093) = 533009533 / 1
LCM(23081,23093) = 533009533
Least Common Multiple (LCM) of 23081 and 23093 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23081 and 23093. First we will calculate the prime factors of 23081 and 23093.
Prime Factorization of 23081
Prime factors of 23081 are 23081. Prime factorization of 23081 in exponential form is:
23081 = 230811
Prime Factorization of 23093
Prime factors of 23093 are 7, 3299. Prime factorization of 23093 in exponential form is:
23093 = 71 × 32991
Now multiplying the highest exponent prime factors to calculate the LCM of 23081 and 23093.
LCM(23081,23093) = 230811 × 71 × 32991
LCM(23081,23093) = 533009533
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