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What is the Least Common Multiple of 18330 and 18336?

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 18330 and 18336 is 56016480.

LCM(18330,18336) = 56016480

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Least Common Multiple of 18330 and 18336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18330 and 18336, than apply into the LCM equation.

GCF(18330,18336) = 6
LCM(18330,18336) = ( 18330 × 18336) / 6
LCM(18330,18336) = 336098880 / 6
LCM(18330,18336) = 56016480

Least Common Multiple (LCM) of 18330 and 18336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18330 and 18336. First we will calculate the prime factors of 18330 and 18336.

Prime Factorization of 18330

Prime factors of 18330 are 2, 3, 5, 13, 47. Prime factorization of 18330 in exponential form is:

18330 = 21 × 31 × 51 × 131 × 471

Prime Factorization of 18336

Prime factors of 18336 are 2, 3, 191. Prime factorization of 18336 in exponential form is:

18336 = 25 × 31 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 18330 and 18336.

LCM(18330,18336) = 25 × 31 × 51 × 131 × 471 × 1911
LCM(18330,18336) = 56016480