What is the Least Common Multiple of 18043 and 18058?
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 18043 and 18058 is 325820494.
LCM(18043,18058) = 325820494
Least Common Multiple of 18043 and 18058 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18043 and 18058, than apply into the LCM equation.
GCF(18043,18058) = 1
LCM(18043,18058) = ( 18043 × 18058) / 1
LCM(18043,18058) = 325820494 / 1
LCM(18043,18058) = 325820494
Least Common Multiple (LCM) of 18043 and 18058 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18043 and 18058. First we will calculate the prime factors of 18043 and 18058.
Prime Factorization of 18043
Prime factors of 18043 are 18043. Prime factorization of 18043 in exponential form is:
18043 = 180431
Prime Factorization of 18058
Prime factors of 18058 are 2, 9029. Prime factorization of 18058 in exponential form is:
18058 = 21 × 90291
Now multiplying the highest exponent prime factors to calculate the LCM of 18043 and 18058.
LCM(18043,18058) = 180431 × 21 × 90291
LCM(18043,18058) = 325820494
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