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What is the Least Common Multiple of 13182 and 13188?

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 13182 and 13188 is 28974036.

LCM(13182,13188) = 28974036

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Least Common Multiple of 13182 and 13188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13182 and 13188, than apply into the LCM equation.

GCF(13182,13188) = 6
LCM(13182,13188) = ( 13182 × 13188) / 6
LCM(13182,13188) = 173844216 / 6
LCM(13182,13188) = 28974036

Least Common Multiple (LCM) of 13182 and 13188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13182 and 13188. First we will calculate the prime factors of 13182 and 13188.

Prime Factorization of 13182

Prime factors of 13182 are 2, 3, 13. Prime factorization of 13182 in exponential form is:

13182 = 21 × 31 × 133

Prime Factorization of 13188

Prime factors of 13188 are 2, 3, 7, 157. Prime factorization of 13188 in exponential form is:

13188 = 22 × 31 × 71 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 13182 and 13188.

LCM(13182,13188) = 22 × 31 × 133 × 71 × 1571
LCM(13182,13188) = 28974036