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What is the Least Common Multiple of 18862 and 18873?

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 18862 and 18873 is 355982526.

LCM(18862,18873) = 355982526

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Least Common Multiple of 18862 and 18873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18862 and 18873, than apply into the LCM equation.

GCF(18862,18873) = 1
LCM(18862,18873) = ( 18862 × 18873) / 1
LCM(18862,18873) = 355982526 / 1
LCM(18862,18873) = 355982526

Least Common Multiple (LCM) of 18862 and 18873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18862 and 18873. First we will calculate the prime factors of 18862 and 18873.

Prime Factorization of 18862

Prime factors of 18862 are 2, 9431. Prime factorization of 18862 in exponential form is:

18862 = 21 × 94311

Prime Factorization of 18873

Prime factors of 18873 are 3, 233. Prime factorization of 18873 in exponential form is:

18873 = 34 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 18862 and 18873.

LCM(18862,18873) = 21 × 94311 × 34 × 2331
LCM(18862,18873) = 355982526