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What is the Least Common Multiple of 18573 and 18592?

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 18573 and 18592 is 345309216.

LCM(18573,18592) = 345309216

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Least Common Multiple of 18573 and 18592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18573 and 18592, than apply into the LCM equation.

GCF(18573,18592) = 1
LCM(18573,18592) = ( 18573 × 18592) / 1
LCM(18573,18592) = 345309216 / 1
LCM(18573,18592) = 345309216

Least Common Multiple (LCM) of 18573 and 18592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18573 and 18592. First we will calculate the prime factors of 18573 and 18592.

Prime Factorization of 18573

Prime factors of 18573 are 3, 41, 151. Prime factorization of 18573 in exponential form is:

18573 = 31 × 411 × 1511

Prime Factorization of 18592

Prime factors of 18592 are 2, 7, 83. Prime factorization of 18592 in exponential form is:

18592 = 25 × 71 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 18573 and 18592.

LCM(18573,18592) = 31 × 411 × 1511 × 25 × 71 × 831
LCM(18573,18592) = 345309216