What is the Least Common Multiple of 23071 and 23081?
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 23071 and 23081 is 532501751.
LCM(23071,23081) = 532501751
Least Common Multiple of 23071 and 23081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23071 and 23081, than apply into the LCM equation.
GCF(23071,23081) = 1
LCM(23071,23081) = ( 23071 × 23081) / 1
LCM(23071,23081) = 532501751 / 1
LCM(23071,23081) = 532501751
Least Common Multiple (LCM) of 23071 and 23081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23071 and 23081. First we will calculate the prime factors of 23071 and 23081.
Prime Factorization of 23071
Prime factors of 23071 are 23071. Prime factorization of 23071 in exponential form is:
23071 = 230711
Prime Factorization of 23081
Prime factors of 23081 are 23081. Prime factorization of 23081 in exponential form is:
23081 = 230811
Now multiplying the highest exponent prime factors to calculate the LCM of 23071 and 23081.
LCM(23071,23081) = 230711 × 230811
LCM(23071,23081) = 532501751
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