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What is the Least Common Multiple of 18533 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 18533 and 18538 is 343564754.

LCM(18533,18538) = 343564754

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Least Common Multiple of 18533 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 18533 and 18538, than apply into the LCM equation.

GCF(18533,18538) = 1
LCM(18533,18538) = ( 18533 × 18538) / 1
LCM(18533,18538) = 343564754 / 1
LCM(18533,18538) = 343564754

Least Common Multiple (LCM) of 18533 and 18538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18533 and 18538. First we will calculate the prime factors of 18533 and 18538.

Prime Factorization of 18533

Prime factors of 18533 are 43, 431. Prime factorization of 18533 in exponential form is:

18533 = 431 × 4311

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 18533 and 18538.

LCM(18533,18538) = 431 × 4311 × 21 × 131 × 231 × 311
LCM(18533,18538) = 343564754