What is the Least Common Multiple of 18129 and 18133?
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 18129 and 18133 is 328733157.
LCM(18129,18133) = 328733157
Least Common Multiple of 18129 and 18133 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18129 and 18133, than apply into the LCM equation.
GCF(18129,18133) = 1
LCM(18129,18133) = ( 18129 × 18133) / 1
LCM(18129,18133) = 328733157 / 1
LCM(18129,18133) = 328733157
Least Common Multiple (LCM) of 18129 and 18133 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18129 and 18133. First we will calculate the prime factors of 18129 and 18133.
Prime Factorization of 18129
Prime factors of 18129 are 3, 6043. Prime factorization of 18129 in exponential form is:
18129 = 31 × 60431
Prime Factorization of 18133
Prime factors of 18133 are 18133. Prime factorization of 18133 in exponential form is:
18133 = 181331
Now multiplying the highest exponent prime factors to calculate the LCM of 18129 and 18133.
LCM(18129,18133) = 31 × 60431 × 181331
LCM(18129,18133) = 328733157
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