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What is the Least Common Multiple of 13482 and 13488?

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 13482 and 13488 is 30307536.

LCM(13482,13488) = 30307536

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Least Common Multiple of 13482 and 13488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13482 and 13488, than apply into the LCM equation.

GCF(13482,13488) = 6
LCM(13482,13488) = ( 13482 × 13488) / 6
LCM(13482,13488) = 181845216 / 6
LCM(13482,13488) = 30307536

Least Common Multiple (LCM) of 13482 and 13488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13482 and 13488. First we will calculate the prime factors of 13482 and 13488.

Prime Factorization of 13482

Prime factors of 13482 are 2, 3, 7, 107. Prime factorization of 13482 in exponential form is:

13482 = 21 × 32 × 71 × 1071

Prime Factorization of 13488

Prime factors of 13488 are 2, 3, 281. Prime factorization of 13488 in exponential form is:

13488 = 24 × 31 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 13482 and 13488.

LCM(13482,13488) = 24 × 32 × 71 × 1071 × 2811
LCM(13482,13488) = 30307536