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What is the Least Common Multiple of 18308 and 18327?

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 18308 and 18327 is 335530716.

LCM(18308,18327) = 335530716

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Least Common Multiple of 18308 and 18327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18308 and 18327, than apply into the LCM equation.

GCF(18308,18327) = 1
LCM(18308,18327) = ( 18308 × 18327) / 1
LCM(18308,18327) = 335530716 / 1
LCM(18308,18327) = 335530716

Least Common Multiple (LCM) of 18308 and 18327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18308 and 18327. First we will calculate the prime factors of 18308 and 18327.

Prime Factorization of 18308

Prime factors of 18308 are 2, 23, 199. Prime factorization of 18308 in exponential form is:

18308 = 22 × 231 × 1991

Prime Factorization of 18327

Prime factors of 18327 are 3, 41, 149. Prime factorization of 18327 in exponential form is:

18327 = 31 × 411 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 18308 and 18327.

LCM(18308,18327) = 22 × 231 × 1991 × 31 × 411 × 1491
LCM(18308,18327) = 335530716