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What is the Least Common Multiple of 18368 and 18387?

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 18368 and 18387 is 337732416.

LCM(18368,18387) = 337732416

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Least Common Multiple of 18368 and 18387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18368 and 18387, than apply into the LCM equation.

GCF(18368,18387) = 1
LCM(18368,18387) = ( 18368 × 18387) / 1
LCM(18368,18387) = 337732416 / 1
LCM(18368,18387) = 337732416

Least Common Multiple (LCM) of 18368 and 18387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18368 and 18387. First we will calculate the prime factors of 18368 and 18387.

Prime Factorization of 18368

Prime factors of 18368 are 2, 7, 41. Prime factorization of 18368 in exponential form is:

18368 = 26 × 71 × 411

Prime Factorization of 18387

Prime factors of 18387 are 3, 227. Prime factorization of 18387 in exponential form is:

18387 = 34 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 18368 and 18387.

LCM(18368,18387) = 26 × 71 × 411 × 34 × 2271
LCM(18368,18387) = 337732416