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What is the Least Common Multiple of 18517 and 18534?

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 18517 and 18534 is 343194078.

LCM(18517,18534) = 343194078

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Least Common Multiple of 18517 and 18534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18517 and 18534, than apply into the LCM equation.

GCF(18517,18534) = 1
LCM(18517,18534) = ( 18517 × 18534) / 1
LCM(18517,18534) = 343194078 / 1
LCM(18517,18534) = 343194078

Least Common Multiple (LCM) of 18517 and 18534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18517 and 18534. First we will calculate the prime factors of 18517 and 18534.

Prime Factorization of 18517

Prime factors of 18517 are 18517. Prime factorization of 18517 in exponential form is:

18517 = 185171

Prime Factorization of 18534

Prime factors of 18534 are 2, 3, 3089. Prime factorization of 18534 in exponential form is:

18534 = 21 × 31 × 30891

Now multiplying the highest exponent prime factors to calculate the LCM of 18517 and 18534.

LCM(18517,18534) = 185171 × 21 × 31 × 30891
LCM(18517,18534) = 343194078