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What is the Least Common Multiple of 18324 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 18324 and 18336 is 27999072.

LCM(18324,18336) = 27999072

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Least Common Multiple of 18324 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 18324 and 18336, than apply into the LCM equation.

GCF(18324,18336) = 12
LCM(18324,18336) = ( 18324 × 18336) / 12
LCM(18324,18336) = 335988864 / 12
LCM(18324,18336) = 27999072

Least Common Multiple (LCM) of 18324 and 18336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18324 and 18336. First we will calculate the prime factors of 18324 and 18336.

Prime Factorization of 18324

Prime factors of 18324 are 2, 3, 509. Prime factorization of 18324 in exponential form is:

18324 = 22 × 32 × 5091

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 18324 and 18336.

LCM(18324,18336) = 25 × 32 × 5091 × 1911
LCM(18324,18336) = 27999072