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What is the Least Common Multiple of 18471 and 18487?

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 18471 and 18487 is 341473377.

LCM(18471,18487) = 341473377

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Least Common Multiple of 18471 and 18487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18471 and 18487, than apply into the LCM equation.

GCF(18471,18487) = 1
LCM(18471,18487) = ( 18471 × 18487) / 1
LCM(18471,18487) = 341473377 / 1
LCM(18471,18487) = 341473377

Least Common Multiple (LCM) of 18471 and 18487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18471 and 18487. First we will calculate the prime factors of 18471 and 18487.

Prime Factorization of 18471

Prime factors of 18471 are 3, 47, 131. Prime factorization of 18471 in exponential form is:

18471 = 31 × 471 × 1311

Prime Factorization of 18487

Prime factors of 18487 are 7, 19, 139. Prime factorization of 18487 in exponential form is:

18487 = 71 × 191 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 18471 and 18487.

LCM(18471,18487) = 31 × 471 × 1311 × 71 × 191 × 1391
LCM(18471,18487) = 341473377