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What is the Least Common Multiple of 18529 and 18538?

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 18529 and 18538 is 343490602.

LCM(18529,18538) = 343490602

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Least Common Multiple of 18529 and 18538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18529 and 18538, than apply into the LCM equation.

GCF(18529,18538) = 1
LCM(18529,18538) = ( 18529 × 18538) / 1
LCM(18529,18538) = 343490602 / 1
LCM(18529,18538) = 343490602

Least Common Multiple (LCM) of 18529 and 18538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18529 and 18538. First we will calculate the prime factors of 18529 and 18538.

Prime Factorization of 18529

Prime factors of 18529 are 7, 2647. Prime factorization of 18529 in exponential form is:

18529 = 71 × 26471

Prime Factorization of 18538

Prime factors of 18538 are 2, 13, 23, 31. Prime factorization of 18538 in exponential form is:

18538 = 21 × 131 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 18529 and 18538.

LCM(18529,18538) = 71 × 26471 × 21 × 131 × 231 × 311
LCM(18529,18538) = 343490602